TY  - CONF
AU  - Nedić, Milica
AU  - Gligorić, Goran
AU  - Petrović, Jovana
AU  - Maluckov, Aleksandra
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/13043
AB  - Photonic lattices of optical waveguides present a well-controlled platform for investigation of different phenomena associated with the topological characteristics of physical systems. Recently, the first experimental realization of a Majorana zero-mode bound at vortexlike distortion induced in the bulk of a 2D graphene-like photonic lattice is demonstrated in [1]. The observed modes lie mid-gap at zero energy and they are extremely robust to the perturbations to the underlying Hamiltonian. We use bipartite armchair hexagonal lattice and create a vortex topological defect by perturbing positions of the central waveguides and numerically examine how the eigenvalues spectrum depends on the distortion phase. The observed robustness of zero-mode is an indication that adding the saturable gain and linear loss to lattice can lead to efficient lasing. Starting from the noisy background, we achieve zero-mode lasing, shown in Figure 1. We further investigate its robustness to the changes in driving conditions and the vortex phase with the goal to find an efficeint and steady lasing regime. These results can be used to design a new topological laser.
PB  - Belgrade : Institute of Physics
C3  - 16th Photonics Workshop : Book of abstracts
T1  - Impact of the vortex distortion phase on the efficiency of lasing zero-mode
SP  - 23
EP  - 23
UR  - https://hdl.handle.net/21.15107/rcub_vinar_13043
ER  - 

@conference{
author = "Nedić, Milica and Gligorić, Goran and Petrović, Jovana and Maluckov, Aleksandra",
year = "2023",
abstract = "Photonic lattices of optical waveguides present a well-controlled platform for investigation of different phenomena associated with the topological characteristics of physical systems. Recently, the first experimental realization of a Majorana zero-mode bound at vortexlike distortion induced in the bulk of a 2D graphene-like photonic lattice is demonstrated in [1]. The observed modes lie mid-gap at zero energy and they are extremely robust to the perturbations to the underlying Hamiltonian. We use bipartite armchair hexagonal lattice and create a vortex topological defect by perturbing positions of the central waveguides and numerically examine how the eigenvalues spectrum depends on the distortion phase. The observed robustness of zero-mode is an indication that adding the saturable gain and linear loss to lattice can lead to efficient lasing. Starting from the noisy background, we achieve zero-mode lasing, shown in Figure 1. We further investigate its robustness to the changes in driving conditions and the vortex phase with the goal to find an efficeint and steady lasing regime. These results can be used to design a new topological laser.",
publisher = "Belgrade : Institute of Physics",
journal = "16th Photonics Workshop : Book of abstracts",
title = "Impact of the vortex distortion phase on the efficiency of lasing zero-mode",
pages = "23-23",
url = "https://hdl.handle.net/21.15107/rcub_vinar_13043"
}

Nedić, M., Gligorić, G., Petrović, J.,& Maluckov, A.. (2023). Impact of the vortex distortion phase on the efficiency of lasing zero-mode. in 16th Photonics Workshop : Book of abstracts
Belgrade : Institute of Physics., 23-23.
https://hdl.handle.net/21.15107/rcub_vinar_13043

Nedić M, Gligorić G, Petrović J, Maluckov A. Impact of the vortex distortion phase on the efficiency of lasing zero-mode. in 16th Photonics Workshop : Book of abstracts. 2023;:23-23.
https://hdl.handle.net/21.15107/rcub_vinar_13043 .

Nedić, Milica, Gligorić, Goran, Petrović, Jovana, Maluckov, Aleksandra, "Impact of the vortex distortion phase on the efficiency of lasing zero-mode" in 16th Photonics Workshop : Book of abstracts (2023):23-23,
https://hdl.handle.net/21.15107/rcub_vinar_13043 .

TY  - CONF
AU  - Bugarski, Kolja
AU  - Petrović, Jovana
AU  - Maluckov, Aleksandra
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/13040
AB  - One of the simplest [1] and nowadays hugely investigated models [2-5] for which topological features can be determined is the one-dimensional SSH (Su–Schrieffer–Heeger) model. In photonics, it can be realized as a waveguide array with alternating values of coupling between waveguides, Figure 1. While the linear regime has been investigated in great detail, the nonlinear regime leaves a number of questions open and is the subject of the work presented here. The light propagation through the waveguide array is mathematically modeled by the tight-binding differential-difference Schrödinger-like equation and numerically solved by the 4th order Runge-Kutta procedure. By tuning the ratio between the coupling constants of neighboring sites in the lattice, a topological phase transition can be induced. Boundary-bulk correspondence then provides creation of an integer number of edge states and the response of the bulk via integer value of the Zak-phase. We play with adding defects and inducing the nonlinear lattice response in order to confirm existing and find and manage new topological transitions in the system. This has potential applications in realization of the basic logic gates with controlled light (classical and quantum) beams which are necessary for solving quantum computing issues.
PB  - Belgrade : Institute of Physics
C3  - 16th Photonics Workshop : Book of abstracts
T1  - Localized modes in SSH photonic lattice in the presence of defects and local nonlinearity
SP  - 17
EP  - 17
UR  - https://hdl.handle.net/21.15107/rcub_vinar_13040
ER  - 

@conference{
author = "Bugarski, Kolja and Petrović, Jovana and Maluckov, Aleksandra",
year = "2023",
abstract = "One of the simplest [1] and nowadays hugely investigated models [2-5] for which topological features can be determined is the one-dimensional SSH (Su–Schrieffer–Heeger) model. In photonics, it can be realized as a waveguide array with alternating values of coupling between waveguides, Figure 1. While the linear regime has been investigated in great detail, the nonlinear regime leaves a number of questions open and is the subject of the work presented here. The light propagation through the waveguide array is mathematically modeled by the tight-binding differential-difference Schrödinger-like equation and numerically solved by the 4th order Runge-Kutta procedure. By tuning the ratio between the coupling constants of neighboring sites in the lattice, a topological phase transition can be induced. Boundary-bulk correspondence then provides creation of an integer number of edge states and the response of the bulk via integer value of the Zak-phase. We play with adding defects and inducing the nonlinear lattice response in order to confirm existing and find and manage new topological transitions in the system. This has potential applications in realization of the basic logic gates with controlled light (classical and quantum) beams which are necessary for solving quantum computing issues.",
publisher = "Belgrade : Institute of Physics",
journal = "16th Photonics Workshop : Book of abstracts",
title = "Localized modes in SSH photonic lattice in the presence of defects and local nonlinearity",
pages = "17-17",
url = "https://hdl.handle.net/21.15107/rcub_vinar_13040"
}

Bugarski, K., Petrović, J.,& Maluckov, A.. (2023). Localized modes in SSH photonic lattice in the presence of defects and local nonlinearity. in 16th Photonics Workshop : Book of abstracts
Belgrade : Institute of Physics., 17-17.
https://hdl.handle.net/21.15107/rcub_vinar_13040

Bugarski K, Petrović J, Maluckov A. Localized modes in SSH photonic lattice in the presence of defects and local nonlinearity. in 16th Photonics Workshop : Book of abstracts. 2023;:17-17.
https://hdl.handle.net/21.15107/rcub_vinar_13040 .

Bugarski, Kolja, Petrović, Jovana, Maluckov, Aleksandra, "Localized modes in SSH photonic lattice in the presence of defects and local nonlinearity" in 16th Photonics Workshop : Book of abstracts (2023):17-17,
https://hdl.handle.net/21.15107/rcub_vinar_13040 .

TY  - JOUR
AU  - Petrović, Jovana S.
AU  - Kršić, Jelena
AU  - Maluckov, Aleksandra
AU  - Veerman, J.J.P.
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10743
AB  - Rapidly increasing demand for higher data bandwidths has motivated exploration of new communication channels based on spatially multiplexed in-fibre and on-chip coupled light guides. However, the conventionally used periodically arranged coupled waveguides display complicated light propagation patterns, ranging from quasiperiodic to nearly chaotic. Taking a different approach, we spectrally engineer interwaveguide coupling to instigate self-imaging of the input light state at the array output and thus enable construction of novel high-fidelity interconnects. Simple implementation via modulation of the interwaveguide separations makes these interconnects realizable in all fabrication platforms. Their competitive advantages are negligible crosstalk-induced information loss, high density that exceeds the current standards by an order of magnitude, and compatibility with both classical and quantum information encoding schemes. Moreover, the wavelength-dependent self-imaging opens up new possibilities for wavelength and spatial division demultiplexing. The proposed analytical designs are supported by extensive numerical simulations of silicon-on-insulator, silicon nitride and silica glass waveguide arrays, and a statistical feasibility study. © 2023 Elsevier Ltd
T2  - Optics & Laser Technology
T1  - High-density optical interconnects based on self-imaging in coupled waveguide arrays
VL  - 163
SP  - 109381
DO  - 10.1016/j.optlastec.2023.109381
ER  - 

@article{
author = "Petrović, Jovana S. and Kršić, Jelena and Maluckov, Aleksandra and Veerman, J.J.P.",
year = "2023",
abstract = "Rapidly increasing demand for higher data bandwidths has motivated exploration of new communication channels based on spatially multiplexed in-fibre and on-chip coupled light guides. However, the conventionally used periodically arranged coupled waveguides display complicated light propagation patterns, ranging from quasiperiodic to nearly chaotic. Taking a different approach, we spectrally engineer interwaveguide coupling to instigate self-imaging of the input light state at the array output and thus enable construction of novel high-fidelity interconnects. Simple implementation via modulation of the interwaveguide separations makes these interconnects realizable in all fabrication platforms. Their competitive advantages are negligible crosstalk-induced information loss, high density that exceeds the current standards by an order of magnitude, and compatibility with both classical and quantum information encoding schemes. Moreover, the wavelength-dependent self-imaging opens up new possibilities for wavelength and spatial division demultiplexing. The proposed analytical designs are supported by extensive numerical simulations of silicon-on-insulator, silicon nitride and silica glass waveguide arrays, and a statistical feasibility study. © 2023 Elsevier Ltd",
journal = "Optics & Laser Technology",
title = "High-density optical interconnects based on self-imaging in coupled waveguide arrays",
volume = "163",
pages = "109381",
doi = "10.1016/j.optlastec.2023.109381"
}

Petrović, J. S., Kršić, J., Maluckov, A.,& Veerman, J.J.P.. (2023). High-density optical interconnects based on self-imaging in coupled waveguide arrays. in Optics & Laser Technology, 163, 109381.
https://doi.org/10.1016/j.optlastec.2023.109381

Petrović JS, Kršić J, Maluckov A, Veerman J. High-density optical interconnects based on self-imaging in coupled waveguide arrays. in Optics & Laser Technology. 2023;163:109381.
doi:10.1016/j.optlastec.2023.109381 .

Petrović, Jovana S., Kršić, Jelena, Maluckov, Aleksandra, Veerman, J.J.P., "High-density optical interconnects based on self-imaging in coupled waveguide arrays" in Optics & Laser Technology, 163 (2023):109381,
https://doi.org/10.1016/j.optlastec.2023.109381 . .

TY  - JOUR
AU  - Nedić, Milica
AU  - Gligorić, Goran
AU  - Petrović, Jovana
AU  - Maluckov, Aleksandra
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10986
AB  - Recently we have witnessed experimental realization of a Majorana zero-mode bound at vortex distortion induced in bipartite hexagonal photonic lattices. Here, we address an open question of the impact of nonlinearity on the zero-mode dynamics by theoretically investigating the abilities of topologically protected zero-modes to guide, couple and lase light in the presence of nonlinear effects. Light-intensity related nonlinearity enters the scene through a local nonlinear lattice response and driving properties: saturable nonlinear gain and linear loss. We demonstrate an efficient steady zero-mode lasing regime by managing the lattice and driving parameters. Obtained results open up possibilities for design of new topological lasers in length-scalable photonic platforms, such as multicore optical fibers. © 2023 Elsevier B.V.
T2  - Physics Letters, Section A: General, Atomic and Solid State Physics
T1  - Nonlinearity and lasing topological zero-mode in distorted photonic lattice
VL  - 477
DO  - 10.1016/j.physleta.2023.128893
ER  - 

@article{
author = "Nedić, Milica and Gligorić, Goran and Petrović, Jovana and Maluckov, Aleksandra",
year = "2023",
abstract = "Recently we have witnessed experimental realization of a Majorana zero-mode bound at vortex distortion induced in bipartite hexagonal photonic lattices. Here, we address an open question of the impact of nonlinearity on the zero-mode dynamics by theoretically investigating the abilities of topologically protected zero-modes to guide, couple and lase light in the presence of nonlinear effects. Light-intensity related nonlinearity enters the scene through a local nonlinear lattice response and driving properties: saturable nonlinear gain and linear loss. We demonstrate an efficient steady zero-mode lasing regime by managing the lattice and driving parameters. Obtained results open up possibilities for design of new topological lasers in length-scalable photonic platforms, such as multicore optical fibers. © 2023 Elsevier B.V.",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
title = "Nonlinearity and lasing topological zero-mode in distorted photonic lattice",
volume = "477",
doi = "10.1016/j.physleta.2023.128893"
}

Nedić, M., Gligorić, G., Petrović, J.,& Maluckov, A.. (2023). Nonlinearity and lasing topological zero-mode in distorted photonic lattice. in Physics Letters, Section A: General, Atomic and Solid State Physics, 477.
https://doi.org/10.1016/j.physleta.2023.128893

Nedić M, Gligorić G, Petrović J, Maluckov A. Nonlinearity and lasing topological zero-mode in distorted photonic lattice. in Physics Letters, Section A: General, Atomic and Solid State Physics. 2023;477.
doi:10.1016/j.physleta.2023.128893 .

Nedić, Milica, Gligorić, Goran, Petrović, Jovana, Maluckov, Aleksandra, "Nonlinearity and lasing topological zero-mode in distorted photonic lattice" in Physics Letters, Section A: General, Atomic and Solid State Physics, 477 (2023),
https://doi.org/10.1016/j.physleta.2023.128893 . .

TY  - CONF
AU  - Bugarski, Kolja
AU  - Maluckov, Aleksandra
AU  - Petrović, Jovana
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/12000
AB  - One of the simplest models for which topological features can be defined is the one-dimensional SSH (Su–Schrieffer–Heeger) model. It can be realized in photonics as a waveguide array with alternating values of coupling constants. Mathematically, the light propagation through the waveguide array is modeled by the Schrödinger equation using tight-binding approximation (coupling exists only between neighboring waveguides).By tuning ratio between the coupling constants between the neighboring sites in the lattice,a topological phase transition can be induced. We investigate whether we could change the topological characteristics of the array by adding "defects". The defect is represented by an additional waveguide inserted between the already existing waveguides. On top of that, we add local cubic (Kerr-type) nonlinearity to those waveguides and investigate the dynamical localization and topological phenomena in the lattice
C3  - WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts
T1  - On Diversity of Localized Modes in Presence of Defects and Nonlinearity in SSH Waveguide Array
SP  - 64
EP  - 64
UR  - https://hdl.handle.net/21.15107/rcub_vinar_12000
ER  - 

@conference{
author = "Bugarski, Kolja and Maluckov, Aleksandra and Petrović, Jovana",
year = "2023",
abstract = "One of the simplest models for which topological features can be defined is the one-dimensional SSH (Su–Schrieffer–Heeger) model. It can be realized in photonics as a waveguide array with alternating values of coupling constants. Mathematically, the light propagation through the waveguide array is modeled by the Schrödinger equation using tight-binding approximation (coupling exists only between neighboring waveguides).By tuning ratio between the coupling constants between the neighboring sites in the lattice,a topological phase transition can be induced. We investigate whether we could change the topological characteristics of the array by adding "defects". The defect is represented by an additional waveguide inserted between the already existing waveguides. On top of that, we add local cubic (Kerr-type) nonlinearity to those waveguides and investigate the dynamical localization and topological phenomena in the lattice",
journal = "WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts",
title = "On Diversity of Localized Modes in Presence of Defects and Nonlinearity in SSH Waveguide Array",
pages = "64-64",
url = "https://hdl.handle.net/21.15107/rcub_vinar_12000"
}

Bugarski, K., Maluckov, A.,& Petrović, J.. (2023). On Diversity of Localized Modes in Presence of Defects and Nonlinearity in SSH Waveguide Array. in WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts, 64-64.
https://hdl.handle.net/21.15107/rcub_vinar_12000

Bugarski K, Maluckov A, Petrović J. On Diversity of Localized Modes in Presence of Defects and Nonlinearity in SSH Waveguide Array. in WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts. 2023;:64-64.
https://hdl.handle.net/21.15107/rcub_vinar_12000 .

Bugarski, Kolja, Maluckov, Aleksandra, Petrović, Jovana, "On Diversity of Localized Modes in Presence of Defects and Nonlinearity in SSH Waveguide Array" in WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts (2023):64-64,
https://hdl.handle.net/21.15107/rcub_vinar_12000 .

TY  - CONF
AU  - Gligorić, Goran
AU  - Petrović, Jovana
AU  - Maluckov, Aleksandra
AU  - Nedić, Milica
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/12001
AB  - Recently, the first experimental realization of a zero-mode associated with a topological defect in the bulk of a 2D graphene-like photonic lattice by introducing a vortex-like distortion is presented in [1]. The result of the distortion is the creation of a very robust mode localized in the vicinity of the vortex core. Here, we focus on finite bipartite armchair hexagonal-shaped lattice with a Kekule vortex-like distortion and numerically investigate the impact of distortion phase on the lattice eigenvalue spectrum. The substantial robustness of zero-mode indicated a possibility for efficient lasing by inducing the proper lattice pumping. Proposing different distortion phases, we are probing the lasing zero-mode from noisy background by tuning the saturable gain and linear loss driving parameters. The idea is to find the optimal parameter regimes to drive efficient and steady lasing zero-mode, which can be experimentally utilized for realizing novel type of photonic lasers
C3  - WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts
T1  - Probing the Efficiency of Lasing Zero-Mode by Changing The Vortex Distortion Phase
SP  - 66
EP  - 66
UR  - https://hdl.handle.net/21.15107/rcub_vinar_12001
ER  - 

@conference{
author = "Gligorić, Goran and Petrović, Jovana and Maluckov, Aleksandra and Nedić, Milica",
year = "2023",
abstract = "Recently, the first experimental realization of a zero-mode associated with a topological defect in the bulk of a 2D graphene-like photonic lattice by introducing a vortex-like distortion is presented in [1]. The result of the distortion is the creation of a very robust mode localized in the vicinity of the vortex core. Here, we focus on finite bipartite armchair hexagonal-shaped lattice with a Kekule vortex-like distortion and numerically investigate the impact of distortion phase on the lattice eigenvalue spectrum. The substantial robustness of zero-mode indicated a possibility for efficient lasing by inducing the proper lattice pumping. Proposing different distortion phases, we are probing the lasing zero-mode from noisy background by tuning the saturable gain and linear loss driving parameters. The idea is to find the optimal parameter regimes to drive efficient and steady lasing zero-mode, which can be experimentally utilized for realizing novel type of photonic lasers",
journal = "WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts",
title = "Probing the Efficiency of Lasing Zero-Mode by Changing The Vortex Distortion Phase",
pages = "66-66",
url = "https://hdl.handle.net/21.15107/rcub_vinar_12001"
}

Gligorić, G., Petrović, J., Maluckov, A.,& Nedić, M.. (2023). Probing the Efficiency of Lasing Zero-Mode by Changing The Vortex Distortion Phase. in WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts, 66-66.
https://hdl.handle.net/21.15107/rcub_vinar_12001

Gligorić G, Petrović J, Maluckov A, Nedić M. Probing the Efficiency of Lasing Zero-Mode by Changing The Vortex Distortion Phase. in WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts. 2023;:66-66.
https://hdl.handle.net/21.15107/rcub_vinar_12001 .

Gligorić, Goran, Petrović, Jovana, Maluckov, Aleksandra, Nedić, Milica, "Probing the Efficiency of Lasing Zero-Mode by Changing The Vortex Distortion Phase" in WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts (2023):66-66,
https://hdl.handle.net/21.15107/rcub_vinar_12001 .

TY  - CONF
AU  - Nedić, Milica
AU  - Gligorić, Goran
AU  - Petrović, J.
AU  - Maluckov, Aleksandra
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11801
AB  - Photonics has provided a variety of flexible and controllable systems for probing topological phenomena. Recently, the first experimental realization of a Majorana zero-mode bound at vortex-like distortion has been demonstrated in [1]. The result of the distortion is the creation of a robust mode localized in the vicinity of the vortex core. Here, we focus on finite bipartite armchair hexagonal-shaped lattice with a vortex-like (“Kekule”) distortion [2] and study novel aspects of the zero-mode dynamics in the presence of the nonlinear lattice response and nonlinear driving [3]. We first investigate the impact of saturable Kerr nonlinearity on the properties of zero-modes [4]. The extreme robustness of zero-modes to external perturbation indicate that managing the driving parameters, saturable gain [5] and linear loss, can lead to an efficient and steady lasing regime. We examine how the nonlinearity affects the lasing efficiency, since these effects are unavoidable at higher powers. Based on the results, we propose a new topological laser realisable in a multicore optical fibre.
PB  - Belgrade : Vinča Institute of Nuclear Sciences
C3  - PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade
T1  - Impact of nonlinearity on the zero-mode lasing in optical lattices
SP  - 51
EP  - 51
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11801
ER  - 

@conference{
author = "Nedić, Milica and Gligorić, Goran and Petrović, J. and Maluckov, Aleksandra",
year = "2023",
abstract = "Photonics has provided a variety of flexible and controllable systems for probing topological phenomena. Recently, the first experimental realization of a Majorana zero-mode bound at vortex-like distortion has been demonstrated in [1]. The result of the distortion is the creation of a robust mode localized in the vicinity of the vortex core. Here, we focus on finite bipartite armchair hexagonal-shaped lattice with a vortex-like (“Kekule”) distortion [2] and study novel aspects of the zero-mode dynamics in the presence of the nonlinear lattice response and nonlinear driving [3]. We first investigate the impact of saturable Kerr nonlinearity on the properties of zero-modes [4]. The extreme robustness of zero-modes to external perturbation indicate that managing the driving parameters, saturable gain [5] and linear loss, can lead to an efficient and steady lasing regime. We examine how the nonlinearity affects the lasing efficiency, since these effects are unavoidable at higher powers. Based on the results, we propose a new topological laser realisable in a multicore optical fibre.",
publisher = "Belgrade : Vinča Institute of Nuclear Sciences",
journal = "PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade",
title = "Impact of nonlinearity on the zero-mode lasing in optical lattices",
pages = "51-51",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11801"
}

Nedić, M., Gligorić, G., Petrović, J.,& Maluckov, A.. (2023). Impact of nonlinearity on the zero-mode lasing in optical lattices. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade
Belgrade : Vinča Institute of Nuclear Sciences., 51-51.
https://hdl.handle.net/21.15107/rcub_vinar_11801

Nedić M, Gligorić G, Petrović J, Maluckov A. Impact of nonlinearity on the zero-mode lasing in optical lattices. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade. 2023;:51-51.
https://hdl.handle.net/21.15107/rcub_vinar_11801 .

Nedić, Milica, Gligorić, Goran, Petrović, J., Maluckov, Aleksandra, "Impact of nonlinearity on the zero-mode lasing in optical lattices" in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade (2023):51-51,
https://hdl.handle.net/21.15107/rcub_vinar_11801 .

TY  - CONF
AU  - Mančić, Ana
AU  - Nedić, Milica
AU  - Leykam, D.
AU  - Maluckov, Aleksandra
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11802
AB  - Photonic lattices represent a fruitful testbed for investigating various topological phases, nonlinear phenomena, and intriguing consequences of the development of modulational instability in topologically nontrivial media, as the inter-relation between topological edge states [1], edge solitons [2] and bulk solitons [3]. They provide the possibility not only to highlight the equivalent phenomena in condensed matter systems but to go beyond them into new land of exotic nonlinearly driven topologically moderated states. Recently, we have shown that the modulational instability of nonlinear Bloch modes could be used to probe the band topology in non-driven lattices [4]. As an extension, here, we report on the results of the study of the relaxation of the optical wave fields in nonlinear two-dimensional Chern insulators [5]. They undergo a transition from an ordered bulk state to a disordered state, triggered by the modulational instability [6]. The phenomenon of the memory loss of the initial state is related to nonlinear wave-mixing and ergodization within the gapped bands [7]. The testbed for our numerical study is two-dimensional π-flux square lattice in which we investigate the population of topological bands by the wave mixing of nonlinear Bloch waves. We tune the strength of the nonlinearity and lattice parameters in order to observe different dynamical regimes: toplogical transitions, stable and unstable propagation. We have found that the unstable propagation gives rise to a new quasi-steady state characterized by a convergence of certain wave field characteristics (participation ratio, Chern number, purity gap) to constant values. Next, in order to find the correspondence between this steady state and thermalized wave field we apply a grand canonical approach to calculate the effective temperature and chemical potential of the wave field. We have found that the effective temperature and chemical potential exhibit a strong k – dependence throughout the Brillouin zone. This implies the existence of a long-lived pre-thermalized regime and the absence of thermalization.
PB  - Belgrade : Vinča Institute of Nuclear Sciences
C3  - PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade
T1  - The modulation instability triggered band relaxation in photonic Chern insulator
SP  - 52
EP  - 52
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11802
ER  - 

@conference{
author = "Mančić, Ana and Nedić, Milica and Leykam, D. and Maluckov, Aleksandra",
year = "2023",
abstract = "Photonic lattices represent a fruitful testbed for investigating various topological phases, nonlinear phenomena, and intriguing consequences of the development of modulational instability in topologically nontrivial media, as the inter-relation between topological edge states [1], edge solitons [2] and bulk solitons [3]. They provide the possibility not only to highlight the equivalent phenomena in condensed matter systems but to go beyond them into new land of exotic nonlinearly driven topologically moderated states. Recently, we have shown that the modulational instability of nonlinear Bloch modes could be used to probe the band topology in non-driven lattices [4]. As an extension, here, we report on the results of the study of the relaxation of the optical wave fields in nonlinear two-dimensional Chern insulators [5]. They undergo a transition from an ordered bulk state to a disordered state, triggered by the modulational instability [6]. The phenomenon of the memory loss of the initial state is related to nonlinear wave-mixing and ergodization within the gapped bands [7]. The testbed for our numerical study is two-dimensional π-flux square lattice in which we investigate the population of topological bands by the wave mixing of nonlinear Bloch waves. We tune the strength of the nonlinearity and lattice parameters in order to observe different dynamical regimes: toplogical transitions, stable and unstable propagation. We have found that the unstable propagation gives rise to a new quasi-steady state characterized by a convergence of certain wave field characteristics (participation ratio, Chern number, purity gap) to constant values. Next, in order to find the correspondence between this steady state and thermalized wave field we apply a grand canonical approach to calculate the effective temperature and chemical potential of the wave field. We have found that the effective temperature and chemical potential exhibit a strong k – dependence throughout the Brillouin zone. This implies the existence of a long-lived pre-thermalized regime and the absence of thermalization.",
publisher = "Belgrade : Vinča Institute of Nuclear Sciences",
journal = "PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade",
title = "The modulation instability triggered band relaxation in photonic Chern insulator",
pages = "52-52",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11802"
}

Mančić, A., Nedić, M., Leykam, D.,& Maluckov, A.. (2023). The modulation instability triggered band relaxation in photonic Chern insulator. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade
Belgrade : Vinča Institute of Nuclear Sciences., 52-52.
https://hdl.handle.net/21.15107/rcub_vinar_11802

Mančić A, Nedić M, Leykam D, Maluckov A. The modulation instability triggered band relaxation in photonic Chern insulator. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade. 2023;:52-52.
https://hdl.handle.net/21.15107/rcub_vinar_11802 .

Mančić, Ana, Nedić, Milica, Leykam, D., Maluckov, Aleksandra, "The modulation instability triggered band relaxation in photonic Chern insulator" in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade (2023):52-52,
https://hdl.handle.net/21.15107/rcub_vinar_11802 .

TY  - JOUR
AU  - Mithun, Thudiyangal
AU  - Maluckov, Aleksandra
AU  - Mančić, Ana
AU  - Khare, Avinash
AU  - Kevrekidis, Panayotis G.
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10641
AB  - In the present work we revisit the Salerno model as a prototypical system that interpolates between a well-known integrable system (the Ablowitz-Ladik lattice) and an experimentally tractable, nonintegrable one (the discrete nonlinear Schrödinger model). The question we ask is, for "generic"initial data, how close are the integrable to the nonintegrable models Our more precise formulation of this question is, How well is the constancy of formerly conserved quantities preserved in the nonintegrable case Upon examining this, we find that even slight deviations from integrability can be sensitively felt by measuring these formerly conserved quantities in the case of the Salerno model. However, given that the knowledge of these quantities requires a deep physical and mathematical analysis of the system, we seek a more "generic"diagnostic towards a manifestation of integrability breaking. We argue, based on our Salerno model computations, that the full spectrum of Lyapunov exponents could be a sensitive diagnostic to that effect.
T2  - Physical Review E
T1  - How close are integrable and nonintegrable models: A parametric case study based on the Salerno model
VL  - 107
IS  - 2
SP  - 024202
DO  - 10.1103/PhysRevE.107.024202
ER  - 

@article{
author = "Mithun, Thudiyangal and Maluckov, Aleksandra and Mančić, Ana and Khare, Avinash and Kevrekidis, Panayotis G.",
year = "2023",
abstract = "In the present work we revisit the Salerno model as a prototypical system that interpolates between a well-known integrable system (the Ablowitz-Ladik lattice) and an experimentally tractable, nonintegrable one (the discrete nonlinear Schrödinger model). The question we ask is, for "generic"initial data, how close are the integrable to the nonintegrable models Our more precise formulation of this question is, How well is the constancy of formerly conserved quantities preserved in the nonintegrable case Upon examining this, we find that even slight deviations from integrability can be sensitively felt by measuring these formerly conserved quantities in the case of the Salerno model. However, given that the knowledge of these quantities requires a deep physical and mathematical analysis of the system, we seek a more "generic"diagnostic towards a manifestation of integrability breaking. We argue, based on our Salerno model computations, that the full spectrum of Lyapunov exponents could be a sensitive diagnostic to that effect.",
journal = "Physical Review E",
title = "How close are integrable and nonintegrable models: A parametric case study based on the Salerno model",
volume = "107",
number = "2",
pages = "024202",
doi = "10.1103/PhysRevE.107.024202"
}

Mithun, T., Maluckov, A., Mančić, A., Khare, A.,& Kevrekidis, P. G.. (2023). How close are integrable and nonintegrable models: A parametric case study based on the Salerno model. in Physical Review E, 107(2), 024202.
https://doi.org/10.1103/PhysRevE.107.024202

Mithun T, Maluckov A, Mančić A, Khare A, Kevrekidis PG. How close are integrable and nonintegrable models: A parametric case study based on the Salerno model. in Physical Review E. 2023;107(2):024202.
doi:10.1103/PhysRevE.107.024202 .

Mithun, Thudiyangal, Maluckov, Aleksandra, Mančić, Ana, Khare, Avinash, Kevrekidis, Panayotis G., "How close are integrable and nonintegrable models: A parametric case study based on the Salerno model" in Physical Review E, 107, no. 2 (2023):024202,
https://doi.org/10.1103/PhysRevE.107.024202 . .

TY  - JOUR
AU  - Mančić, Ana
AU  - Leykam, Daniel
AU  - Maluckov, Aleksandra
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10869
AB  - Modulational instability in topological photonic lattices enables the selective population of energy bands and generation of steady-state wavefields with well-defined topological invariants. This provides a way to measure bulk topological invariants, which determine the number of robust edge modes appearing at the lattice edges via the bulk-edge correspondence. Here we study numerically the process of wave thermalization arising from modulational instability in topological bands. We apply a grand canonical approach to compute the effective temperature β and chemical potential μ of the steady-state wavefields. The steady-state wavefields exhibit a strong wavevector k -dependence of β and μ throughout the Brillouin zone, suggesting the existence of a long-lived pre-thermal phase and the absence of thermalization for the moderate propagation times accessible using topological photonic lattices.
T2  - Physica Scripta
T1  - Band relaxation triggered by modulational instability in topological photonic lattices
VL  - 98
IS  - 5
SP  - 055513
DO  - 10.1088/1402-4896/accabb
ER  - 

@article{
author = "Mančić, Ana and Leykam, Daniel and Maluckov, Aleksandra",
year = "2023",
abstract = "Modulational instability in topological photonic lattices enables the selective population of energy bands and generation of steady-state wavefields with well-defined topological invariants. This provides a way to measure bulk topological invariants, which determine the number of robust edge modes appearing at the lattice edges via the bulk-edge correspondence. Here we study numerically the process of wave thermalization arising from modulational instability in topological bands. We apply a grand canonical approach to compute the effective temperature β and chemical potential μ of the steady-state wavefields. The steady-state wavefields exhibit a strong wavevector k -dependence of β and μ throughout the Brillouin zone, suggesting the existence of a long-lived pre-thermal phase and the absence of thermalization for the moderate propagation times accessible using topological photonic lattices.",
journal = "Physica Scripta",
title = "Band relaxation triggered by modulational instability in topological photonic lattices",
volume = "98",
number = "5",
pages = "055513",
doi = "10.1088/1402-4896/accabb"
}

Mančić, A., Leykam, D.,& Maluckov, A.. (2023). Band relaxation triggered by modulational instability in topological photonic lattices. in Physica Scripta, 98(5), 055513.
https://doi.org/10.1088/1402-4896/accabb

Mančić A, Leykam D, Maluckov A. Band relaxation triggered by modulational instability in topological photonic lattices. in Physica Scripta. 2023;98(5):055513.
doi:10.1088/1402-4896/accabb .

Mančić, Ana, Leykam, Daniel, Maluckov, Aleksandra, "Band relaxation triggered by modulational instability in topological photonic lattices" in Physica Scripta, 98, no. 5 (2023):055513,
https://doi.org/10.1088/1402-4896/accabb . .

TY  - CONF
AU  - Beličev, Petra
AU  - Gligorić, Goran
AU  - Maluckov, Aleksandra
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11803
AB  - Optical vortex is a coherent localized structure carrying energy around the pivot point. It is characterized by an optical angular momentum (OAM) mathematically described by azimuthal phase term exp(ilφ). Here, the integer number l stands for the winding number or topological charge of the vortex [1]. Particularly interesting are vortices generated in discrete systems [2]. They are specified by quantized topological charge and exhibit inherent robustness on perturbations within the system [3]. One of the structures that support discrete vortices is multi-core fiber (MCF) [4]. Here, we study MCF structure composed of two concentric hexagonal rings, A and B (Fig. 1). Beside equal coupling constants among nearest sites of A and B ring, we also consider a presence of artificial flux (Φ) which affects coupling between sites in the A ring [5]. The presence of artificial flux does not change the topological charge of vortices, only shifts their corresponding eigenvalues. Moreover, vortex excitation in one of the rings produces a regular periodical energy exchange between A and B rings in a form of stable breathing coupled-vortex structure. In passive MCF the vortex excitation is necessary to propagate vortex through the system. However, including the saturable gain and linear loss in the MCF, the vortices of different topological charge can be excited even from the uniform background by tuning the flux value. Numerical simulations show high robustness of newly formed vortices, which offers possibility to utilize the proposed setup as highly controllable vortex generator. Moreover, this can be of particular importance in the ring array based lasers [6,7].
PB  - Belgrade : Vinča Institute of Nuclear Sciences
C3  - PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade
T1  - Coupled vortex generator in active multi-core fibers
SP  - 53
EP  - 53
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11803
ER  - 

@conference{
author = "Beličev, Petra and Gligorić, Goran and Maluckov, Aleksandra",
year = "2023",
abstract = "Optical vortex is a coherent localized structure carrying energy around the pivot point. It is characterized by an optical angular momentum (OAM) mathematically described by azimuthal phase term exp(ilφ). Here, the integer number l stands for the winding number or topological charge of the vortex [1]. Particularly interesting are vortices generated in discrete systems [2]. They are specified by quantized topological charge and exhibit inherent robustness on perturbations within the system [3]. One of the structures that support discrete vortices is multi-core fiber (MCF) [4]. Here, we study MCF structure composed of two concentric hexagonal rings, A and B (Fig. 1). Beside equal coupling constants among nearest sites of A and B ring, we also consider a presence of artificial flux (Φ) which affects coupling between sites in the A ring [5]. The presence of artificial flux does not change the topological charge of vortices, only shifts their corresponding eigenvalues. Moreover, vortex excitation in one of the rings produces a regular periodical energy exchange between A and B rings in a form of stable breathing coupled-vortex structure. In passive MCF the vortex excitation is necessary to propagate vortex through the system. However, including the saturable gain and linear loss in the MCF, the vortices of different topological charge can be excited even from the uniform background by tuning the flux value. Numerical simulations show high robustness of newly formed vortices, which offers possibility to utilize the proposed setup as highly controllable vortex generator. Moreover, this can be of particular importance in the ring array based lasers [6,7].",
publisher = "Belgrade : Vinča Institute of Nuclear Sciences",
journal = "PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade",
title = "Coupled vortex generator in active multi-core fibers",
pages = "53-53",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11803"
}

Beličev, P., Gligorić, G.,& Maluckov, A.. (2023). Coupled vortex generator in active multi-core fibers. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade
Belgrade : Vinča Institute of Nuclear Sciences., 53-53.
https://hdl.handle.net/21.15107/rcub_vinar_11803

Beličev P, Gligorić G, Maluckov A. Coupled vortex generator in active multi-core fibers. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade. 2023;:53-53.
https://hdl.handle.net/21.15107/rcub_vinar_11803 .

Beličev, Petra, Gligorić, Goran, Maluckov, Aleksandra, "Coupled vortex generator in active multi-core fibers" in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade (2023):53-53,
https://hdl.handle.net/21.15107/rcub_vinar_11803 .

TY  - CONF
AU  - Bugarski, Kolja
AU  - Vildoso, P.
AU  - Stojanović, Mirjana G.
AU  - Maluckov, Aleksandra
AU  - Mashanovich, G. Z.
AU  - Vicencio, R. A.
AU  - Petrović, J.
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11813
AB  - Conventional designs of multiport splitters rely on concatenation of directional couplers or multimode interference [1,2]. However, the splitters show a considerable insertion loss and fast bandwidth drop with the number of ports. Inverse nanodesigns enable broad-bandwidth semiconductor splitters, however, at high fabrication and design costs [3,4]. In this work, we present fast and low-cost inverse designs of multiport splitters with near-zero insertion loss and respectable bandwidth. Designs are based on adjustments of the separations or lengths of waveguides composing a linearly coupled waveguide array. By tailoring the separations to achieve self-imaging of the input light pattern, a series of 1×N splitters can be achieved prior to the revival [5,6]. To demonstrate the technique, the power splitters were fabricated in a borosilicate wafer by femtosecond laser writing method [7]. The splitters show zero insertion loss within the experimental error, bandwidth of 20−60 nm around a wavelength of 640 nm and low imbalance < 0.5 dB [8]. Their footprint scales exponentially with the waveguide separation, which can be reduced to the limit of mode confinement. The footprint reduction is particularly pronounced in waveguides with high refractive index contrast, such as those in SOI, where we design the splitters with the footprint as small as 6 μm2. The proposed splitters offer new possibilities for path-entanglement generation, multipath interferometry on chip and spatial mode multiplexing.
PB  - Belgrade : Vinča Institute of Nuclear Sciences
C3  - PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade
T1  - Multiport splitters based on waveguide arrays
SP  - 101
EP  - 101
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11813
ER  - 

@conference{
author = "Bugarski, Kolja and Vildoso, P. and Stojanović, Mirjana G. and Maluckov, Aleksandra and Mashanovich, G. Z. and Vicencio, R. A. and Petrović, J.",
year = "2023",
abstract = "Conventional designs of multiport splitters rely on concatenation of directional couplers or multimode interference [1,2]. However, the splitters show a considerable insertion loss and fast bandwidth drop with the number of ports. Inverse nanodesigns enable broad-bandwidth semiconductor splitters, however, at high fabrication and design costs [3,4]. In this work, we present fast and low-cost inverse designs of multiport splitters with near-zero insertion loss and respectable bandwidth. Designs are based on adjustments of the separations or lengths of waveguides composing a linearly coupled waveguide array. By tailoring the separations to achieve self-imaging of the input light pattern, a series of 1×N splitters can be achieved prior to the revival [5,6]. To demonstrate the technique, the power splitters were fabricated in a borosilicate wafer by femtosecond laser writing method [7]. The splitters show zero insertion loss within the experimental error, bandwidth of 20−60 nm around a wavelength of 640 nm and low imbalance < 0.5 dB [8]. Their footprint scales exponentially with the waveguide separation, which can be reduced to the limit of mode confinement. The footprint reduction is particularly pronounced in waveguides with high refractive index contrast, such as those in SOI, where we design the splitters with the footprint as small as 6 μm2. The proposed splitters offer new possibilities for path-entanglement generation, multipath interferometry on chip and spatial mode multiplexing.",
publisher = "Belgrade : Vinča Institute of Nuclear Sciences",
journal = "PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade",
title = "Multiport splitters based on waveguide arrays",
pages = "101-101",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11813"
}

Bugarski, K., Vildoso, P., Stojanović, M. G., Maluckov, A., Mashanovich, G. Z., Vicencio, R. A.,& Petrović, J.. (2023). Multiport splitters based on waveguide arrays. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade
Belgrade : Vinča Institute of Nuclear Sciences., 101-101.
https://hdl.handle.net/21.15107/rcub_vinar_11813

Bugarski K, Vildoso P, Stojanović MG, Maluckov A, Mashanovich GZ, Vicencio RA, Petrović J. Multiport splitters based on waveguide arrays. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade. 2023;:101-101.
https://hdl.handle.net/21.15107/rcub_vinar_11813 .

Bugarski, Kolja, Vildoso, P., Stojanović, Mirjana G., Maluckov, Aleksandra, Mashanovich, G. Z., Vicencio, R. A., Petrović, J., "Multiport splitters based on waveguide arrays" in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade (2023):101-101,
https://hdl.handle.net/21.15107/rcub_vinar_11813 .

TY  - CONF
AU  - Kršić, Jelena
AU  - Stojanović, Mirjana G.
AU  - Bugarski, Kolja
AU  - Stojanović, N.
AU  - Maluckov, Aleksandra
AU  - Veerman, P.
AU  - Petrović, J.
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11814
AB  - Rapidly increasing demand for higher data bandwidths has motivated exploration of new communication channels based on spatially multiplexed in-fibre and on-chip coupled light guides [1]. However, the conventionally used periodically arranged coupled waveguides display complicated light propagation patterns, ranging from quasiperiodic to nearly chaotic. Taking a different approach, we spectrally engineer interwaveguide coupling to instigate self-imaging of the input light state at the array output and thus enable construction of novel high-fidelity interconnects [2]. Simple implementation via modulation of the interwaveguide separations makes these interconnects realizable in all fabrication platforms. Moreover, the wavelength dependent self-imaging opens up possibilities for construction of new multiplexing devices [3]. Here, we present designs of band-pass filters and dichroic splitters for VIS and NIR and propose the strategies for selection of their central wavelengths and bandwidths.
PB  - Belgrade : Vinča Institute of Nuclear Sciences
C3  - PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade
T1  - Optical interconnects and filters based on waveguide arrays
SP  - 102
EP  - 102
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11814
ER  - 

@conference{
author = "Kršić, Jelena and Stojanović, Mirjana G. and Bugarski, Kolja and Stojanović, N. and Maluckov, Aleksandra and Veerman, P. and Petrović, J.",
year = "2023",
abstract = "Rapidly increasing demand for higher data bandwidths has motivated exploration of new communication channels based on spatially multiplexed in-fibre and on-chip coupled light guides [1]. However, the conventionally used periodically arranged coupled waveguides display complicated light propagation patterns, ranging from quasiperiodic to nearly chaotic. Taking a different approach, we spectrally engineer interwaveguide coupling to instigate self-imaging of the input light state at the array output and thus enable construction of novel high-fidelity interconnects [2]. Simple implementation via modulation of the interwaveguide separations makes these interconnects realizable in all fabrication platforms. Moreover, the wavelength dependent self-imaging opens up possibilities for construction of new multiplexing devices [3]. Here, we present designs of band-pass filters and dichroic splitters for VIS and NIR and propose the strategies for selection of their central wavelengths and bandwidths.",
publisher = "Belgrade : Vinča Institute of Nuclear Sciences",
journal = "PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade",
title = "Optical interconnects and filters based on waveguide arrays",
pages = "102-102",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11814"
}

Kršić, J., Stojanović, M. G., Bugarski, K., Stojanović, N., Maluckov, A., Veerman, P.,& Petrović, J.. (2023). Optical interconnects and filters based on waveguide arrays. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade
Belgrade : Vinča Institute of Nuclear Sciences., 102-102.
https://hdl.handle.net/21.15107/rcub_vinar_11814

Kršić J, Stojanović MG, Bugarski K, Stojanović N, Maluckov A, Veerman P, Petrović J. Optical interconnects and filters based on waveguide arrays. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade. 2023;:102-102.
https://hdl.handle.net/21.15107/rcub_vinar_11814 .

Kršić, Jelena, Stojanović, Mirjana G., Bugarski, Kolja, Stojanović, N., Maluckov, Aleksandra, Veerman, P., Petrović, J., "Optical interconnects and filters based on waveguide arrays" in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade (2023):102-102,
https://hdl.handle.net/21.15107/rcub_vinar_11814 .

TY  - CONF
AU  - Stojanović, Mirjana G.
AU  - Maluckov, Aleksandra
AU  - Stepić, Milutin
AU  - Mančić, Ana
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11852
AB  - Flat-band (FB) photonic lattices have been in the focus of researchers since they represent an excellent
platform for studying various fundamental physical phenomena difficult to achieve in the condensed
matter systems. Working with photonic lattices is very comfortable because they are easy to manipulate with
and it is possible to directly observe the wave dynamics. An important property of FBs lattice is that they can
host a complete set of compact localized modes (CLMs), highly robust to environmental noise. Due to lattice
their geometry, it is possible to design artificial gauge field effects which are equivalent to the magnetic field
flux, i. e. the spin-orbit interaction in atomic systems.
We have studied a two-dimensional (2D) linear and nonlinearphotonic lattices dressed by the artificial flux and
have explored the influence of the artificial gauge field on the energy band spectrum. We investigated CLM
in three types of 2D photonic lattices: octagonal-diamond, dice and plus-like lattice. Each of these lattices is
characterized by the presence of diamond plaquettes in the structure. When diamond plaquettes are dressed by
artificial flux, the Aharonov-Bohm effect has caused the appearance of new FBs for certain values of the flux.
The dynamics of the CLMs in the mentioned flux-dressed lattices have been analyzed numerically, using
the Runge-Kutta procedure of the 6th order. To describe the dynamic properties of CLMs, in the presence
of nonlinearity and artificial flux, we calculated some of the following quantities: the participation number,
which is a measure of the mode localization; the mode overlapping, which represents normalized magnitude
of the field overlap; and total intensity distribution. The evolution of these quantities show the efficiency of the
mode compactness andlocalization.
C3  - WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts
T1  - Playing with the artificial flux in diamond plaquettes in different photonic lattices
SP  - 65
EP  - 65
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11852
ER  - 

@conference{
author = "Stojanović, Mirjana G. and Maluckov, Aleksandra and Stepić, Milutin and Mančić, Ana",
year = "2023",
abstract = "Flat-band (FB) photonic lattices have been in the focus of researchers since they represent an excellent
platform for studying various fundamental physical phenomena difficult to achieve in the condensed
matter systems. Working with photonic lattices is very comfortable because they are easy to manipulate with
and it is possible to directly observe the wave dynamics. An important property of FBs lattice is that they can
host a complete set of compact localized modes (CLMs), highly robust to environmental noise. Due to lattice
their geometry, it is possible to design artificial gauge field effects which are equivalent to the magnetic field
flux, i. e. the spin-orbit interaction in atomic systems.
We have studied a two-dimensional (2D) linear and nonlinearphotonic lattices dressed by the artificial flux and
have explored the influence of the artificial gauge field on the energy band spectrum. We investigated CLM
in three types of 2D photonic lattices: octagonal-diamond, dice and plus-like lattice. Each of these lattices is
characterized by the presence of diamond plaquettes in the structure. When diamond plaquettes are dressed by
artificial flux, the Aharonov-Bohm effect has caused the appearance of new FBs for certain values of the flux.
The dynamics of the CLMs in the mentioned flux-dressed lattices have been analyzed numerically, using
the Runge-Kutta procedure of the 6th order. To describe the dynamic properties of CLMs, in the presence
of nonlinearity and artificial flux, we calculated some of the following quantities: the participation number,
which is a measure of the mode localization; the mode overlapping, which represents normalized magnitude
of the field overlap; and total intensity distribution. The evolution of these quantities show the efficiency of the
mode compactness andlocalization.",
journal = "WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts",
title = "Playing with the artificial flux in diamond plaquettes in different photonic lattices",
pages = "65-65",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11852"
}

Stojanović, M. G., Maluckov, A., Stepić, M.,& Mančić, A.. (2023). Playing with the artificial flux in diamond plaquettes in different photonic lattices. in WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts, 65-65.
https://hdl.handle.net/21.15107/rcub_vinar_11852

Stojanović MG, Maluckov A, Stepić M, Mančić A. Playing with the artificial flux in diamond plaquettes in different photonic lattices. in WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts. 2023;:65-65.
https://hdl.handle.net/21.15107/rcub_vinar_11852 .

Stojanović, Mirjana G., Maluckov, Aleksandra, Stepić, Milutin, Mančić, Ana, "Playing with the artificial flux in diamond plaquettes in different photonic lattices" in WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts (2023):65-65,
https://hdl.handle.net/21.15107/rcub_vinar_11852 .

TY  - CONF
AU  - Stojanović, Mirjana G.
AU  - Mančić, Ana
AU  - Stepić, Milutin
AU  - Maluckov, Aleksandra
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11855
AB  - Flatband (FB) photonic lattices represent ideal testbed for studying transport and localization
properties at the linear level in diverse physical systems [1]. Photonic lattices are easy for manipulation
and investigation of wave dynamics. The photonic lattices offer an ability to design artificial gauge field
effects which are equivalent to the magnetic field flux and the spin-orbit interaction in atomic systems
[2].
The two-dimensional (2D) plus
lattice [3] dressed by the artificial flux can be
experimentally realized by techniques based
on the coupled-spring resonators [4] and
wave-guide networks [5]. Here we tuned the
artificial flux values and studied their effect
on the energy band spectrum and we were
trying to find compact localized modes
(CLMs).
The geometry of the uniform plus
lattice dressed by the artificial flux is Figure
2. Schematic of 2D plus-like lattice with artificial
flux. The unit cell is encircled by a dotted
line.schematically presented in Fig. 1. The
unit cell consists of five sites, linearly coupled with each other with the same intra-cell coupling constant.
The flux of the artificial field modifies the coupling between different unit cell sites to t∙exp(±iϕ/4),
where t is the hopping parameter and ϕ is the artificial flux. In the absence of flux, in the uniform lattice,
the energy spectrum has one fully degenerate FB, centered at zero, and four dispersive bands (DBs) [3].
We have found that this lattice can host the Aharonov-Bohm effect for certain flux values [6]. When
diamond plaquettes are dressed by artificial flux ϕ=π, this lattice spectrum is described by two
momentum independent, fully degenerated FBs, and three DBs. Corresponding CLMs have been
obtained. In the comparison with the flux-free case, we found three different types of fundamental nonorthogonal CLMs now. These CLMs occupy 5 unit cells i.e. are class U=5. The central site amplitude is
zero and all other 4 sites of unit cell have nonzero amplitudes.
PB  - Belgrade : Institute of Physics
C3  - 16th Photonics Workshop : Book of abstracts
T1  - Localized modes in linear flux dressed two-dimensional plus lattice
SP  - 36
EP  - 36
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11855
ER  - 

@conference{
author = "Stojanović, Mirjana G. and Mančić, Ana and Stepić, Milutin and Maluckov, Aleksandra",
year = "2023",
abstract = "Flatband (FB) photonic lattices represent ideal testbed for studying transport and localization
properties at the linear level in diverse physical systems [1]. Photonic lattices are easy for manipulation
and investigation of wave dynamics. The photonic lattices offer an ability to design artificial gauge field
effects which are equivalent to the magnetic field flux and the spin-orbit interaction in atomic systems
[2].
The two-dimensional (2D) plus
lattice [3] dressed by the artificial flux can be
experimentally realized by techniques based
on the coupled-spring resonators [4] and
wave-guide networks [5]. Here we tuned the
artificial flux values and studied their effect
on the energy band spectrum and we were
trying to find compact localized modes
(CLMs).
The geometry of the uniform plus
lattice dressed by the artificial flux is Figure
2. Schematic of 2D plus-like lattice with artificial
flux. The unit cell is encircled by a dotted
line.schematically presented in Fig. 1. The
unit cell consists of five sites, linearly coupled with each other with the same intra-cell coupling constant.
The flux of the artificial field modifies the coupling between different unit cell sites to t∙exp(±iϕ/4),
where t is the hopping parameter and ϕ is the artificial flux. In the absence of flux, in the uniform lattice,
the energy spectrum has one fully degenerate FB, centered at zero, and four dispersive bands (DBs) [3].
We have found that this lattice can host the Aharonov-Bohm effect for certain flux values [6]. When
diamond plaquettes are dressed by artificial flux ϕ=π, this lattice spectrum is described by two
momentum independent, fully degenerated FBs, and three DBs. Corresponding CLMs have been
obtained. In the comparison with the flux-free case, we found three different types of fundamental nonorthogonal CLMs now. These CLMs occupy 5 unit cells i.e. are class U=5. The central site amplitude is
zero and all other 4 sites of unit cell have nonzero amplitudes.",
publisher = "Belgrade : Institute of Physics",
journal = "16th Photonics Workshop : Book of abstracts",
title = "Localized modes in linear flux dressed two-dimensional plus lattice",
pages = "36-36",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11855"
}

Stojanović, M. G., Mančić, A., Stepić, M.,& Maluckov, A.. (2023). Localized modes in linear flux dressed two-dimensional plus lattice. in 16th Photonics Workshop : Book of abstracts
Belgrade : Institute of Physics., 36-36.
https://hdl.handle.net/21.15107/rcub_vinar_11855

Stojanović MG, Mančić A, Stepić M, Maluckov A. Localized modes in linear flux dressed two-dimensional plus lattice. in 16th Photonics Workshop : Book of abstracts. 2023;:36-36.
https://hdl.handle.net/21.15107/rcub_vinar_11855 .

Stojanović, Mirjana G., Mančić, Ana, Stepić, Milutin, Maluckov, Aleksandra, "Localized modes in linear flux dressed two-dimensional plus lattice" in 16th Photonics Workshop : Book of abstracts (2023):36-36,
https://hdl.handle.net/21.15107/rcub_vinar_11855 .

TY  - JOUR
AU  - Petrović, Jovana S.
AU  - Maluckov, Aleksandra
AU  - Stojanović, Nikola
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10462
AB  - Multiarm interferometers can enhance measurement precision and provide multiparameter capability to the measurement. Their realisation requires multiport beam splitters, which has been a long-standing challenge in free-space and integrated optics. Here, we propose a new type of multiport interferometers suitable for implementation on optical chips. Their prospective advantages over the standard directional-coupler architectures: an arbitrary number of arms, planar architecture and two orders of magnitude reduction in footprint, are achieved by the layout based exclusively on the finite modulated photonic lattices. The inverse design of photonic lattices is facilitated by restricting the light propagation to periodic patterns. The corresponding interferometer model predicts the maximum $$1/\sqrt{N}$$sensitivity scaling with the number of arms N. While the presented design solutions are ubiquitous to all implementations, the advantages are discussed in both the low and high refractive-index contrast platforms. Finally, we provide an outlook on the possibilities for the interferometer applications in distributed classical and quantum measurements.
T2  - Optical and Quantum Electronics
T1  - Bend-free multiarm interferometers on optical chips
VL  - 54
IS  - 11
SP  - 687
DO  - 10.1007/s11082-022-04048-1
ER  - 

@article{
author = "Petrović, Jovana S. and Maluckov, Aleksandra and Stojanović, Nikola",
year = "2022",
abstract = "Multiarm interferometers can enhance measurement precision and provide multiparameter capability to the measurement. Their realisation requires multiport beam splitters, which has been a long-standing challenge in free-space and integrated optics. Here, we propose a new type of multiport interferometers suitable for implementation on optical chips. Their prospective advantages over the standard directional-coupler architectures: an arbitrary number of arms, planar architecture and two orders of magnitude reduction in footprint, are achieved by the layout based exclusively on the finite modulated photonic lattices. The inverse design of photonic lattices is facilitated by restricting the light propagation to periodic patterns. The corresponding interferometer model predicts the maximum $$1/\sqrt{N}$$sensitivity scaling with the number of arms N. While the presented design solutions are ubiquitous to all implementations, the advantages are discussed in both the low and high refractive-index contrast platforms. Finally, we provide an outlook on the possibilities for the interferometer applications in distributed classical and quantum measurements.",
journal = "Optical and Quantum Electronics",
title = "Bend-free multiarm interferometers on optical chips",
volume = "54",
number = "11",
pages = "687",
doi = "10.1007/s11082-022-04048-1"
}

Petrović, J. S., Maluckov, A.,& Stojanović, N.. (2022). Bend-free multiarm interferometers on optical chips. in Optical and Quantum Electronics, 54(11), 687.
https://doi.org/10.1007/s11082-022-04048-1

Petrović JS, Maluckov A, Stojanović N. Bend-free multiarm interferometers on optical chips. in Optical and Quantum Electronics. 2022;54(11):687.
doi:10.1007/s11082-022-04048-1 .

Petrović, Jovana S., Maluckov, Aleksandra, Stojanović, Nikola, "Bend-free multiarm interferometers on optical chips" in Optical and Quantum Electronics, 54, no. 11 (2022):687,
https://doi.org/10.1007/s11082-022-04048-1 . .

TY  - JOUR
AU  - Petrović, Jovana S.
AU  - Maluckov, Aleksandra
AU  - Stojanović, Nikola
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10748
AB  - Multiarm interferometers can enhance measurement precision and provide multiparameter capability to the measurement. Their realisation requires multiport beam splitters, which has been a long-standing challenge in free-space and integrated optics. Here, we propose a new type of multiport interferometers suitable for implementation on optical chips. Their prospective advantages over the standard directional-coupler architectures: an arbitrary number of arms, planar architecture and two orders of magnitude reduction in footprint, are achieved by the layout based exclusively on the finite modulated photonic lattices. The inverse design of photonic lattices is facilitated by restricting the light propagation to periodic patterns. The corresponding interferometer model predicts the maximum $$1/\sqrt{N}$$sensitivity scaling with the number of arms N. While the presented design solutions are ubiquitous to all implementations, the advantages are discussed in both the low and high refractive-index contrast platforms. Finally, we provide an outlook on the possibilities for the interferometer applications in distributed classical and quantum measurements.
T2  - Optical and Quantum Electronics
T1  - Bend-free multiarm interferometers on optical chips
VL  - 54
IS  - 11
SP  - 687
DO  - 10.1007/s11082-022-04048-1
ER  - 

@article{
author = "Petrović, Jovana S. and Maluckov, Aleksandra and Stojanović, Nikola",
year = "2022",
abstract = "Multiarm interferometers can enhance measurement precision and provide multiparameter capability to the measurement. Their realisation requires multiport beam splitters, which has been a long-standing challenge in free-space and integrated optics. Here, we propose a new type of multiport interferometers suitable for implementation on optical chips. Their prospective advantages over the standard directional-coupler architectures: an arbitrary number of arms, planar architecture and two orders of magnitude reduction in footprint, are achieved by the layout based exclusively on the finite modulated photonic lattices. The inverse design of photonic lattices is facilitated by restricting the light propagation to periodic patterns. The corresponding interferometer model predicts the maximum $$1/\sqrt{N}$$sensitivity scaling with the number of arms N. While the presented design solutions are ubiquitous to all implementations, the advantages are discussed in both the low and high refractive-index contrast platforms. Finally, we provide an outlook on the possibilities for the interferometer applications in distributed classical and quantum measurements.",
journal = "Optical and Quantum Electronics",
title = "Bend-free multiarm interferometers on optical chips",
volume = "54",
number = "11",
pages = "687",
doi = "10.1007/s11082-022-04048-1"
}

Petrović, J. S., Maluckov, A.,& Stojanović, N.. (2022). Bend-free multiarm interferometers on optical chips. in Optical and Quantum Electronics, 54(11), 687.
https://doi.org/10.1007/s11082-022-04048-1

Petrović JS, Maluckov A, Stojanović N. Bend-free multiarm interferometers on optical chips. in Optical and Quantum Electronics. 2022;54(11):687.
doi:10.1007/s11082-022-04048-1 .

Petrović, Jovana S., Maluckov, Aleksandra, Stojanović, Nikola, "Bend-free multiarm interferometers on optical chips" in Optical and Quantum Electronics, 54, no. 11 (2022):687,
https://doi.org/10.1007/s11082-022-04048-1 . .

TY  - JOUR
AU  - Stojanović, Mirjana G.
AU  - Gundogdu, Sinan
AU  - Leykam, Daniel
AU  - Angelakis, Dimitris G.
AU  - Stojanović Krasić, Marija
AU  - Stepić, Milutin
AU  - Maluckov, Aleksandra
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10197
AB  - Tuning the values of artificial flux in the two-dimensional octagonal-diamond lattice drives topological phase transitions, including between singular and non-singular flatbands. We study the dynamical properties of nonlinear compact localized modes that can be continued from linear flatband modes. We show how the stability of the compact localized modes can be tuned by the nonlinearity strength or the applied artificial flux. Our model can be realized using ring resonator lattices or nonlinear waveguide arrays.
T2  - Physica Scripta
T1  - Nonlinear compact localized modes in flux-dressed octagonal-diamond lattice
VL  - 97
IS  - 3
SP  - 030006
DO  - 10.1088/1402-4896/ac5357
ER  - 

@article{
author = "Stojanović, Mirjana G. and Gundogdu, Sinan and Leykam, Daniel and Angelakis, Dimitris G. and Stojanović Krasić, Marija and Stepić, Milutin and Maluckov, Aleksandra",
year = "2022",
abstract = "Tuning the values of artificial flux in the two-dimensional octagonal-diamond lattice drives topological phase transitions, including between singular and non-singular flatbands. We study the dynamical properties of nonlinear compact localized modes that can be continued from linear flatband modes. We show how the stability of the compact localized modes can be tuned by the nonlinearity strength or the applied artificial flux. Our model can be realized using ring resonator lattices or nonlinear waveguide arrays.",
journal = "Physica Scripta",
title = "Nonlinear compact localized modes in flux-dressed octagonal-diamond lattice",
volume = "97",
number = "3",
pages = "030006",
doi = "10.1088/1402-4896/ac5357"
}

Stojanović, M. G., Gundogdu, S., Leykam, D., Angelakis, D. G., Stojanović Krasić, M., Stepić, M.,& Maluckov, A.. (2022). Nonlinear compact localized modes in flux-dressed octagonal-diamond lattice. in Physica Scripta, 97(3), 030006.
https://doi.org/10.1088/1402-4896/ac5357

Stojanović MG, Gundogdu S, Leykam D, Angelakis DG, Stojanović Krasić M, Stepić M, Maluckov A. Nonlinear compact localized modes in flux-dressed octagonal-diamond lattice. in Physica Scripta. 2022;97(3):030006.
doi:10.1088/1402-4896/ac5357 .

Stojanović, Mirjana G., Gundogdu, Sinan, Leykam, Daniel, Angelakis, Dimitris G., Stojanović Krasić, Marija, Stepić, Milutin, Maluckov, Aleksandra, "Nonlinear compact localized modes in flux-dressed octagonal-diamond lattice" in Physica Scripta, 97, no. 3 (2022):030006,
https://doi.org/10.1088/1402-4896/ac5357 . .

TY  - JOUR
AU  - Maluckov, Aleksandra
AU  - Smolina, Ekaterina
AU  - Leykam, Daniel
AU  - Gündoğdu, Sinan
AU  - Angelakis, Dimitris G.
AU  - Smirnova, Daria A.
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10236
AB  - We study how the nonlinear propagation dynamics of bulk states may be used to distinguish topological phases of slowly driven Floquet lattices. First, we show how instabilities of nonlinear Bloch waves may be used to populate Floquet bands and measure their Chern number via the emergence of nontrivial polarization textures in a similar manner to static (undriven) lattices. Second, we show how the nonlinear dynamics of nonstationary superposition states may be used to identify dynamical symmetry inversion points in the intracycle dynamics, thereby allowing anomalous Floquet phases to be distinguished from the trivial phase. The approaches may be readily implemented using light propagation in nonlinear waveguide arrays.
T2  - Physical Review B
T1  - Nonlinear signatures of Floquet band topology
VL  - 105
IS  - 11
SP  - 115133
DO  - 10.1103/PhysRevB.105.115133
ER  - 

@article{
author = "Maluckov, Aleksandra and Smolina, Ekaterina and Leykam, Daniel and Gündoğdu, Sinan and Angelakis, Dimitris G. and Smirnova, Daria A.",
year = "2022",
abstract = "We study how the nonlinear propagation dynamics of bulk states may be used to distinguish topological phases of slowly driven Floquet lattices. First, we show how instabilities of nonlinear Bloch waves may be used to populate Floquet bands and measure their Chern number via the emergence of nontrivial polarization textures in a similar manner to static (undriven) lattices. Second, we show how the nonlinear dynamics of nonstationary superposition states may be used to identify dynamical symmetry inversion points in the intracycle dynamics, thereby allowing anomalous Floquet phases to be distinguished from the trivial phase. The approaches may be readily implemented using light propagation in nonlinear waveguide arrays.",
journal = "Physical Review B",
title = "Nonlinear signatures of Floquet band topology",
volume = "105",
number = "11",
pages = "115133",
doi = "10.1103/PhysRevB.105.115133"
}

Maluckov, A., Smolina, E., Leykam, D., Gündoğdu, S., Angelakis, D. G.,& Smirnova, D. A.. (2022). Nonlinear signatures of Floquet band topology. in Physical Review B, 105(11), 115133.
https://doi.org/10.1103/PhysRevB.105.115133

Maluckov A, Smolina E, Leykam D, Gündoğdu S, Angelakis DG, Smirnova DA. Nonlinear signatures of Floquet band topology. in Physical Review B. 2022;105(11):115133.
doi:10.1103/PhysRevB.105.115133 .

Maluckov, Aleksandra, Smolina, Ekaterina, Leykam, Daniel, Gündoğdu, Sinan, Angelakis, Dimitris G., Smirnova, Daria A., "Nonlinear signatures of Floquet band topology" in Physical Review B, 105, no. 11 (2022):115133,
https://doi.org/10.1103/PhysRevB.105.115133 . .

TY  - JOUR
AU  - Stojanović, Mirjana G.
AU  - Mančić, Ana
AU  - Stepić, Milutin
AU  - Maluckov, Aleksandra
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11839
AB  - Two-dimensional dice lattice can be dressed by artificial flux to host the Aharonov-Bohm (AB) caging effect resulting in the occurrence of a fully flatband spectrum. Here, we focus on the dynamics of flatband compact localized eigenmodes shared by a few unit cells in two snowflake configurations. We numerically show the possibility of dynamically stable propagation of two types of compact localized complexes by tuning the nonlinearity. The caging is imprinted in complexes dynamics regardless of the type and strength of nonlinearity. On the other hand, nonlinearity can only affect the appearance of the caged complex. These findings open a new route for the manipulation of structured light in photonic systems.
AB  - Uslovi za generisanje Aharonov-Bohm (AB) efekta mogu se postići u dvodimenzionalnoj rombičnoj rešetki s veštački indukovanim fluksom, što dovodi do formiranja energetskog spektra s potpuno ravnim zonama. U radu, akcenat je stavljen na proučavanje dinamike kompaktnih lokalizovanih svojstvenih moda ravnih zona, koje su izolovane na svega nekoliko jediničnih ćelija rešetke u dve pahuljičaste konfiguracije. Numerički je pokazana mogućnost stabilnog prostiranja dva tipa kompaktnih lokalizovanih kompleksa uz pogodno podešavanje nelinearnih svojstava rešetke. AB zarobljavanje igra dominantnu ulogu kada je reč o dinamici kompleksa, bez obzira na vrstu i jačinu nelinearnosti, koja, sa svoje strane, može uticati na oblik zarobljene strukture. Naša otkrića pružaju nove mogućnosti za unapređivanje načina za manipulisanje svetlošću u fotonskim sistemima.
T2  - Facta universitatis series: Physics, Chemistry and Technology
T1  - Shaping the dynamics of Aharonov-Bohm caged localized modes by nonlinearity
T1  - Oblikovanje dinamike Aharonov-Bohm zarobljenih lokalizovanih moda posredstvom nelinearnosti
VL  - 20
IS  - 1
SP  - 55
EP  - 65
DO  - 10.2298/FUPCT2201055S
ER  - 

@article{
author = "Stojanović, Mirjana G. and Mančić, Ana and Stepić, Milutin and Maluckov, Aleksandra",
year = "2022",
abstract = "Two-dimensional dice lattice can be dressed by artificial flux to host the Aharonov-Bohm (AB) caging effect resulting in the occurrence of a fully flatband spectrum. Here, we focus on the dynamics of flatband compact localized eigenmodes shared by a few unit cells in two snowflake configurations. We numerically show the possibility of dynamically stable propagation of two types of compact localized complexes by tuning the nonlinearity. The caging is imprinted in complexes dynamics regardless of the type and strength of nonlinearity. On the other hand, nonlinearity can only affect the appearance of the caged complex. These findings open a new route for the manipulation of structured light in photonic systems., Uslovi za generisanje Aharonov-Bohm (AB) efekta mogu se postići u dvodimenzionalnoj rombičnoj rešetki s veštački indukovanim fluksom, što dovodi do formiranja energetskog spektra s potpuno ravnim zonama. U radu, akcenat je stavljen na proučavanje dinamike kompaktnih lokalizovanih svojstvenih moda ravnih zona, koje su izolovane na svega nekoliko jediničnih ćelija rešetke u dve pahuljičaste konfiguracije. Numerički je pokazana mogućnost stabilnog prostiranja dva tipa kompaktnih lokalizovanih kompleksa uz pogodno podešavanje nelinearnih svojstava rešetke. AB zarobljavanje igra dominantnu ulogu kada je reč o dinamici kompleksa, bez obzira na vrstu i jačinu nelinearnosti, koja, sa svoje strane, može uticati na oblik zarobljene strukture. Naša otkrića pružaju nove mogućnosti za unapređivanje načina za manipulisanje svetlošću u fotonskim sistemima.",
journal = "Facta universitatis series: Physics, Chemistry and Technology",
title = "Shaping the dynamics of Aharonov-Bohm caged localized modes by nonlinearity, Oblikovanje dinamike Aharonov-Bohm zarobljenih lokalizovanih moda posredstvom nelinearnosti",
volume = "20",
number = "1",
pages = "55-65",
doi = "10.2298/FUPCT2201055S"
}

Stojanović, M. G., Mančić, A., Stepić, M.,& Maluckov, A.. (2022). Shaping the dynamics of Aharonov-Bohm caged localized modes by nonlinearity. in Facta universitatis series: Physics, Chemistry and Technology, 20(1), 55-65.
https://doi.org/10.2298/FUPCT2201055S

Stojanović MG, Mančić A, Stepić M, Maluckov A. Shaping the dynamics of Aharonov-Bohm caged localized modes by nonlinearity. in Facta universitatis series: Physics, Chemistry and Technology. 2022;20(1):55-65.
doi:10.2298/FUPCT2201055S .

Stojanović, Mirjana G., Mančić, Ana, Stepić, Milutin, Maluckov, Aleksandra, "Shaping the dynamics of Aharonov-Bohm caged localized modes by nonlinearity" in Facta universitatis series: Physics, Chemistry and Technology, 20, no. 1 (2022):55-65,
https://doi.org/10.2298/FUPCT2201055S . .

TY  - CONF
AU  - Stepić, Milutin
AU  - Maluckov, Aleksandra
AU  - Mančić, Ana
AU  - Stojanović, Mirjana G.
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11851
AB  - Flatband (FB) photonic systems have been in the spotlight of researchers since they
represent an advantageous testbed for studying transport and localization properties at the linear level [1]. Among variety of platforms where flatbands have been
realized photonic lattices have been established as the ideal ones, since working
with them is very comfortable - they are easy to manipulate with and it is possible
to directly observe the wave dynamics. Due to their geometry, it is possible to design artificial gauge field effects which are equivalent to the magnetic field flux, i.
e. the spin-orbit interaction in atomic systems [2].
Here, we study a two-dimensional (2D) pluslike lattice [3], dressed by the artificial
flux, which could be realized by experimental techniques based on the coupledspring resonators [4] and wave-guide networks [5]. We investigate the influence of
the artificial flux on the energy band spectrum and the idea is to find the compact
localized modes (CLM).
The unit cell of the plus lattice consists of five sites, with real intra-cell hopping
represented by the coupling coefficient. The flux of the artificial field modifies the
coupling between different unit cell sites to t∙exp(±iϕ/4), where tis the hopping parameter and ϕ is the artificial flux. In the absence of flux, in the uniform lattice,
the energy spectrum has one fully degenerate FB, centered at zero, between two
dispersive bands (DBs), each of which is being accompanied with the other mirror
symmetric DB [3]. We have found that 2D plus lattice can be dressed by artificial
flux to host the Aharonov-Bohm (AB) effect. This effect causes the appearance of
flat zones in the energy spectrum of the lattice. Hence, when diamond plaquettes are dressed by artificial flux ϕ=π, this lattice spectrum is described by two momentum independent, fully degenerated FBs, and three DBs.
The dynamics of CLMs in 2D flux-dressed plus lattice can be analyzed numerically,
adopting the Runge-Kutta procedure of the 6th order. In order to scan the dynamical properties of the CLMs we will calculate some of the following quantities: the
participation number, which is a measure of the mode localization; the mode overlapping, which represents normalized magnitude of the field overlap; and total intensity distribution. The evolution of these quantities will show the efficiency of
the mode compactness-localization.
C3  - BPU11 : 11th International Conference of the Balkan Physical Union
T1  - Existence and dynamics of eigenmodes in linear flux dressed two-dimensional plus lattice
VL  - 427
SP  - 149
EP  - 150
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11851
ER  - 

@conference{
author = "Stepić, Milutin and Maluckov, Aleksandra and Mančić, Ana and Stojanović, Mirjana G.",
year = "2022",
abstract = "Flatband (FB) photonic systems have been in the spotlight of researchers since they
represent an advantageous testbed for studying transport and localization properties at the linear level [1]. Among variety of platforms where flatbands have been
realized photonic lattices have been established as the ideal ones, since working
with them is very comfortable - they are easy to manipulate with and it is possible
to directly observe the wave dynamics. Due to their geometry, it is possible to design artificial gauge field effects which are equivalent to the magnetic field flux, i.
e. the spin-orbit interaction in atomic systems [2].
Here, we study a two-dimensional (2D) pluslike lattice [3], dressed by the artificial
flux, which could be realized by experimental techniques based on the coupledspring resonators [4] and wave-guide networks [5]. We investigate the influence of
the artificial flux on the energy band spectrum and the idea is to find the compact
localized modes (CLM).
The unit cell of the plus lattice consists of five sites, with real intra-cell hopping
represented by the coupling coefficient. The flux of the artificial field modifies the
coupling between different unit cell sites to t∙exp(±iϕ/4), where tis the hopping parameter and ϕ is the artificial flux. In the absence of flux, in the uniform lattice,
the energy spectrum has one fully degenerate FB, centered at zero, between two
dispersive bands (DBs), each of which is being accompanied with the other mirror
symmetric DB [3]. We have found that 2D plus lattice can be dressed by artificial
flux to host the Aharonov-Bohm (AB) effect. This effect causes the appearance of
flat zones in the energy spectrum of the lattice. Hence, when diamond plaquettes are dressed by artificial flux ϕ=π, this lattice spectrum is described by two momentum independent, fully degenerated FBs, and three DBs.
The dynamics of CLMs in 2D flux-dressed plus lattice can be analyzed numerically,
adopting the Runge-Kutta procedure of the 6th order. In order to scan the dynamical properties of the CLMs we will calculate some of the following quantities: the
participation number, which is a measure of the mode localization; the mode overlapping, which represents normalized magnitude of the field overlap; and total intensity distribution. The evolution of these quantities will show the efficiency of
the mode compactness-localization.",
journal = "BPU11 : 11th International Conference of the Balkan Physical Union",
title = "Existence and dynamics of eigenmodes in linear flux dressed two-dimensional plus lattice",
volume = "427",
pages = "149-150",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11851"
}

Stepić, M., Maluckov, A., Mančić, A.,& Stojanović, M. G.. (2022). Existence and dynamics of eigenmodes in linear flux dressed two-dimensional plus lattice. in BPU11 : 11th International Conference of the Balkan Physical Union, 427, 149-150.
https://hdl.handle.net/21.15107/rcub_vinar_11851

Stepić M, Maluckov A, Mančić A, Stojanović MG. Existence and dynamics of eigenmodes in linear flux dressed two-dimensional plus lattice. in BPU11 : 11th International Conference of the Balkan Physical Union. 2022;427:149-150.
https://hdl.handle.net/21.15107/rcub_vinar_11851 .

Stepić, Milutin, Maluckov, Aleksandra, Mančić, Ana, Stojanović, Mirjana G., "Existence and dynamics of eigenmodes in linear flux dressed two-dimensional plus lattice" in BPU11 : 11th International Conference of the Balkan Physical Union, 427 (2022):149-150,
https://hdl.handle.net/21.15107/rcub_vinar_11851 .

TY  - CONF
AU  - Stojanović, Mirjana G.
AU  - Mančić, Ana
AU  - Stepić, Milutin
AU  - Maluckov, Aleksandra
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11854
C3  - 15th Photonics Workshop : Book of abstracts
T1  - Dynamics of nonlinear Aharonov-Bohm caged compact localized modes in Dice lattice
SP  - 28
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11854
ER  - 

@conference{
author = "Stojanović, Mirjana G. and Mančić, Ana and Stepić, Milutin and Maluckov, Aleksandra",
year = "2022",
journal = "15th Photonics Workshop : Book of abstracts",
title = "Dynamics of nonlinear Aharonov-Bohm caged compact localized modes in Dice lattice",
pages = "28",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11854"
}

Stojanović, M. G., Mančić, A., Stepić, M.,& Maluckov, A.. (2022). Dynamics of nonlinear Aharonov-Bohm caged compact localized modes in Dice lattice. in 15th Photonics Workshop : Book of abstracts, 28.
https://hdl.handle.net/21.15107/rcub_vinar_11854

Stojanović MG, Mančić A, Stepić M, Maluckov A. Dynamics of nonlinear Aharonov-Bohm caged compact localized modes in Dice lattice. in 15th Photonics Workshop : Book of abstracts. 2022;:28.
https://hdl.handle.net/21.15107/rcub_vinar_11854 .

Stojanović, Mirjana G., Mančić, Ana, Stepić, Milutin, Maluckov, Aleksandra, "Dynamics of nonlinear Aharonov-Bohm caged compact localized modes in Dice lattice" in 15th Photonics Workshop : Book of abstracts (2022):28,
https://hdl.handle.net/21.15107/rcub_vinar_11854 .

TY  - JOUR
AU  - Beličev, Petra
AU  - Gligorić, Goran
AU  - Maluckov, Aleksandra
AU  - Hadžievski, Ljupčo
AU  - Turitsyn, Sergei
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9869
AB  - Topological properties can make light field remarkably robust to various external perturbations. The ability to control and change on demand topological characteristics of light paves the way to new interesting physical phenomena and applications. Here, numerical modelling design of the device based on active multi-core fiber that can change topological charge of the state of light has been proposed. The concept is based on the nonlinear dynamics of optical vortices in active multi-core optical fiber with linearly coupled cores, saturated gain, and constant linear losses. Results demonstrate that the proposed system can provide change of the topological charge of vortices.
T2  - Annalen der Physik
T1  - Topological charge switch in active multi-core fibers
VL  - 533
IS  - 9
SP  - 2100108
DO  - 10.1002/andp.202100108
ER  - 

@article{
author = "Beličev, Petra and Gligorić, Goran and Maluckov, Aleksandra and Hadžievski, Ljupčo and Turitsyn, Sergei",
year = "2021",
abstract = "Topological properties can make light field remarkably robust to various external perturbations. The ability to control and change on demand topological characteristics of light paves the way to new interesting physical phenomena and applications. Here, numerical modelling design of the device based on active multi-core fiber that can change topological charge of the state of light has been proposed. The concept is based on the nonlinear dynamics of optical vortices in active multi-core optical fiber with linearly coupled cores, saturated gain, and constant linear losses. Results demonstrate that the proposed system can provide change of the topological charge of vortices.",
journal = "Annalen der Physik",
title = "Topological charge switch in active multi-core fibers",
volume = "533",
number = "9",
pages = "2100108",
doi = "10.1002/andp.202100108"
}

Beličev, P., Gligorić, G., Maluckov, A., Hadžievski, L.,& Turitsyn, S.. (2021). Topological charge switch in active multi-core fibers. in Annalen der Physik, 533(9), 2100108.
https://doi.org/10.1002/andp.202100108

Beličev P, Gligorić G, Maluckov A, Hadžievski L, Turitsyn S. Topological charge switch in active multi-core fibers. in Annalen der Physik. 2021;533(9):2100108.
doi:10.1002/andp.202100108 .

Beličev, Petra, Gligorić, Goran, Maluckov, Aleksandra, Hadžievski, Ljupčo, Turitsyn, Sergei, "Topological charge switch in active multi-core fibers" in Annalen der Physik, 533, no. 9 (2021):2100108,
https://doi.org/10.1002/andp.202100108 . .

TY  - CONF
AU  - Beličev, Petra
AU  - Gligorić, Goran
AU  - Maluckov, Aleksandra
AU  - Hadžievski, Ljupčo
AU  - Turitsyn, S.
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10901
AB  - The multi-core fiber (MCF) is a physical system of high practical importance. In addition to standard exploitation, the MCFs may support discrete vortices that carry orbital angular momentum suitable for spatial-division-multiplexing in high capacity fiber-optic communication systems which may also be attractive for applications in high power lasers. Up to now, the main concern of our study has been related to optimization of the conditions capable to ensure transfer of high coherent light through the MCFs [1]. Regarding this we firstly proved the possibility of nonlinearity managed propagation of highly coherent vortices carrying huge power through the passive circular MCFs, which consist of small number of periphery cores. The central core has been shown to play the role of optional switch/gate of coherent light transfer [1]. In addition, the effects of the presence of central core and material loss/gain of all cores on the linear MCF system eigenvalue commensurability conditions have shown significant impact on the coherent planar and vortex mode dynamics [2]. All these findings stimulated the investigation of possibility to amplify the power transferred through the MCF via vortex carriers by inducing effects of the saturable gain and non-saturable loss in the periphery and/or central cores [3]. We numerically consider three cases of active circular MCFs. In the first case active were only periphery cores. Secondly, we investigated response of the system with only central core active, while the last case included all cores to be active. The light propagation is modeled by the generalized nonlinear difference-differential Schrödinger equations with complex coefficients and saturable gain [3]. Results for MCF with 4, 5 and 6 periphery cores have shown that the active periphery is the most promising candidate for topological charge switch of vortices carrying high powers [4]. In this specific operating regime, MCF provides change of the vortex topological charge value, i.e. transition between different vortex states. Moreover, presented system supports topological charge switch function between noncounterpart vortices by proper tailoring the ratio between gain and loss in periphery. The key condition for this phenomenon is existence of the central core which appears to play role of mode dynamics moderator. Being the ‘singular phase’ point of vortex, the central core which only passively takes part in tunneling energy towards the periphery cores, can support the coherent light amplification through the MCF. On the top of this, presented system shows to be a promising platform for practical realization of devices covering range of multiple functions in applications: from high-power fiber lasers to coherent beam combiners and selective carriers of vortex beams.
PB  - Belgrade : Institute of Physics Belgrade
C3  - PHOTONICA2021 : 8th International School and Conference on Photonics and HEMMAGINERO workshop : Abstracts of Tutorial, Keynote, Invited Lectures, Progress Reports and Contributed Papers; August 23-27, 2021; Belgrade
T1  - Active multi-core fibers – photonic platform for development of a topological charge switching device
SP  - 71
UR  - https://hdl.handle.net/21.15107/rcub_vinar_10901
ER  - 

@conference{
author = "Beličev, Petra and Gligorić, Goran and Maluckov, Aleksandra and Hadžievski, Ljupčo and Turitsyn, S.",
year = "2021",
abstract = "The multi-core fiber (MCF) is a physical system of high practical importance. In addition to standard exploitation, the MCFs may support discrete vortices that carry orbital angular momentum suitable for spatial-division-multiplexing in high capacity fiber-optic communication systems which may also be attractive for applications in high power lasers. Up to now, the main concern of our study has been related to optimization of the conditions capable to ensure transfer of high coherent light through the MCFs [1]. Regarding this we firstly proved the possibility of nonlinearity managed propagation of highly coherent vortices carrying huge power through the passive circular MCFs, which consist of small number of periphery cores. The central core has been shown to play the role of optional switch/gate of coherent light transfer [1]. In addition, the effects of the presence of central core and material loss/gain of all cores on the linear MCF system eigenvalue commensurability conditions have shown significant impact on the coherent planar and vortex mode dynamics [2]. All these findings stimulated the investigation of possibility to amplify the power transferred through the MCF via vortex carriers by inducing effects of the saturable gain and non-saturable loss in the periphery and/or central cores [3]. We numerically consider three cases of active circular MCFs. In the first case active were only periphery cores. Secondly, we investigated response of the system with only central core active, while the last case included all cores to be active. The light propagation is modeled by the generalized nonlinear difference-differential Schrödinger equations with complex coefficients and saturable gain [3]. Results for MCF with 4, 5 and 6 periphery cores have shown that the active periphery is the most promising candidate for topological charge switch of vortices carrying high powers [4]. In this specific operating regime, MCF provides change of the vortex topological charge value, i.e. transition between different vortex states. Moreover, presented system supports topological charge switch function between noncounterpart vortices by proper tailoring the ratio between gain and loss in periphery. The key condition for this phenomenon is existence of the central core which appears to play role of mode dynamics moderator. Being the ‘singular phase’ point of vortex, the central core which only passively takes part in tunneling energy towards the periphery cores, can support the coherent light amplification through the MCF. On the top of this, presented system shows to be a promising platform for practical realization of devices covering range of multiple functions in applications: from high-power fiber lasers to coherent beam combiners and selective carriers of vortex beams.",
publisher = "Belgrade : Institute of Physics Belgrade",
journal = "PHOTONICA2021 : 8th International School and Conference on Photonics and HEMMAGINERO workshop : Abstracts of Tutorial, Keynote, Invited Lectures, Progress Reports and Contributed Papers; August 23-27, 2021; Belgrade",
title = "Active multi-core fibers – photonic platform for development of a topological charge switching device",
pages = "71",
url = "https://hdl.handle.net/21.15107/rcub_vinar_10901"
}

Beličev, P., Gligorić, G., Maluckov, A., Hadžievski, L.,& Turitsyn, S.. (2021). Active multi-core fibers – photonic platform for development of a topological charge switching device. in PHOTONICA2021 : 8th International School and Conference on Photonics and HEMMAGINERO workshop : Abstracts of Tutorial, Keynote, Invited Lectures, Progress Reports and Contributed Papers; August 23-27, 2021; Belgrade
Belgrade : Institute of Physics Belgrade., 71.
https://hdl.handle.net/21.15107/rcub_vinar_10901

Beličev P, Gligorić G, Maluckov A, Hadžievski L, Turitsyn S. Active multi-core fibers – photonic platform for development of a topological charge switching device. in PHOTONICA2021 : 8th International School and Conference on Photonics and HEMMAGINERO workshop : Abstracts of Tutorial, Keynote, Invited Lectures, Progress Reports and Contributed Papers; August 23-27, 2021; Belgrade. 2021;:71.
https://hdl.handle.net/21.15107/rcub_vinar_10901 .

Beličev, Petra, Gligorić, Goran, Maluckov, Aleksandra, Hadžievski, Ljupčo, Turitsyn, S., "Active multi-core fibers – photonic platform for development of a topological charge switching device" in PHOTONICA2021 : 8th International School and Conference on Photonics and HEMMAGINERO workshop : Abstracts of Tutorial, Keynote, Invited Lectures, Progress Reports and Contributed Papers; August 23-27, 2021; Belgrade (2021):71,
https://hdl.handle.net/21.15107/rcub_vinar_10901 .

TY  - JOUR
AU  - Leykam, Daniel
AU  - Smolina, Ekaterina
AU  - Maluckov, Aleksandra
AU  - Flach, Sergej
AU  - Smirnova, Daria A
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9153
AB  - We analyze the modulational instability of nonlinear Bloch waves in topological photonic lattices. In the initial phase of the instability development captured by the linear stability analysis, long wavelength instabilities and bifurcations of the nonlinear Bloch waves are sensitive to topological band inversions. At longer timescales, nonlinear wave mixing induces spreading of energy through the entire band and spontaneous creation of wave polarization singularities determined by the band Chern number. Our analytical and numerical results establish modulational instability as a tool to probe bulk topological invariants and create topologically nontrivial wave fields. © 2021 American Physical Society.
T2  - Physical Review Letters
T1  - Probing Band Topology Using Modulational Instability
VL  - 126
IS  - 7
SP  - 073901
DO  - 10.1103/PhysRevLett.126.073901
ER  - 

@article{
author = "Leykam, Daniel and Smolina, Ekaterina and Maluckov, Aleksandra and Flach, Sergej and Smirnova, Daria A",
year = "2021",
abstract = "We analyze the modulational instability of nonlinear Bloch waves in topological photonic lattices. In the initial phase of the instability development captured by the linear stability analysis, long wavelength instabilities and bifurcations of the nonlinear Bloch waves are sensitive to topological band inversions. At longer timescales, nonlinear wave mixing induces spreading of energy through the entire band and spontaneous creation of wave polarization singularities determined by the band Chern number. Our analytical and numerical results establish modulational instability as a tool to probe bulk topological invariants and create topologically nontrivial wave fields. © 2021 American Physical Society.",
journal = "Physical Review Letters",
title = "Probing Band Topology Using Modulational Instability",
volume = "126",
number = "7",
pages = "073901",
doi = "10.1103/PhysRevLett.126.073901"
}

Leykam, D., Smolina, E., Maluckov, A., Flach, S.,& Smirnova, D. A.. (2021). Probing Band Topology Using Modulational Instability. in Physical Review Letters, 126(7), 073901.
https://doi.org/10.1103/PhysRevLett.126.073901

Leykam D, Smolina E, Maluckov A, Flach S, Smirnova DA. Probing Band Topology Using Modulational Instability. in Physical Review Letters. 2021;126(7):073901.
doi:10.1103/PhysRevLett.126.073901 .

Leykam, Daniel, Smolina, Ekaterina, Maluckov, Aleksandra, Flach, Sergej, Smirnova, Daria A, "Probing Band Topology Using Modulational Instability" in Physical Review Letters, 126, no. 7 (2021):073901,
https://doi.org/10.1103/PhysRevLett.126.073901 . .