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 . .

TY  - JOUR
AU  - Chang, Nana
AU  - Gundogdu, Sinan
AU  - Leykam, Daniel
AU  - Angelakis, Dimitris G.
AU  - Kou, SuPeng
AU  - Flach, Sergej
AU  - Maluckov, Aleksandra
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9141
AB  - We study the properties of nonlinear Bloch waves in a diamond chain waveguide lattice in the presence of a synthetic magnetic flux. In the linear limit, the lattice exhibits a completely flat (wavevector k-independent) band structure, resulting in perfect wave localization, known as Aharonov-Bohm caging. We find that in the presence of nonlinearity, the Bloch waves become sensitive to k, exhibiting bifurcations and instabilities. Performing numerical beam propagation simulations using the tight-binding model, we show how the instabilities can result in either the spontaneous or controlled formation of localized modes, which are immobile and remain pinned in place due to the synthetic magnetic flux. © 2021 Author(s.
T2  - APL Photonics
T1  - Nonlinear Bloch wave dynamics in photonic Aharonov–Bohm cages
VL  - 6
IS  - 3
SP  - 030801
DO  - 10.1063/5.0037767
ER  - 

@article{
author = "Chang, Nana and Gundogdu, Sinan and Leykam, Daniel and Angelakis, Dimitris G. and Kou, SuPeng and Flach, Sergej and Maluckov, Aleksandra",
year = "2021",
abstract = "We study the properties of nonlinear Bloch waves in a diamond chain waveguide lattice in the presence of a synthetic magnetic flux. In the linear limit, the lattice exhibits a completely flat (wavevector k-independent) band structure, resulting in perfect wave localization, known as Aharonov-Bohm caging. We find that in the presence of nonlinearity, the Bloch waves become sensitive to k, exhibiting bifurcations and instabilities. Performing numerical beam propagation simulations using the tight-binding model, we show how the instabilities can result in either the spontaneous or controlled formation of localized modes, which are immobile and remain pinned in place due to the synthetic magnetic flux. © 2021 Author(s.",
journal = "APL Photonics",
title = "Nonlinear Bloch wave dynamics in photonic Aharonov–Bohm cages",
volume = "6",
number = "3",
pages = "030801",
doi = "10.1063/5.0037767"
}

Chang, N., Gundogdu, S., Leykam, D., Angelakis, D. G., Kou, S., Flach, S.,& Maluckov, A.. (2021). Nonlinear Bloch wave dynamics in photonic Aharonov–Bohm cages. in APL Photonics, 6(3), 030801.
https://doi.org/10.1063/5.0037767

Chang N, Gundogdu S, Leykam D, Angelakis DG, Kou S, Flach S, Maluckov A. Nonlinear Bloch wave dynamics in photonic Aharonov–Bohm cages. in APL Photonics. 2021;6(3):030801.
doi:10.1063/5.0037767 .

Chang, Nana, Gundogdu, Sinan, Leykam, Daniel, Angelakis, Dimitris G., Kou, SuPeng, Flach, Sergej, Maluckov, Aleksandra, "Nonlinear Bloch wave dynamics in photonic Aharonov–Bohm cages" in APL Photonics, 6, no. 3 (2021):030801,
https://doi.org/10.1063/5.0037767 . .

TY  - JOUR
AU  - Gligorić, Goran
AU  - Leykam, Daniel
AU  - Maluckov, Aleksandra
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8914
AB  - The linear diamond chain with fine-tuned effective magnetic flux has a completely flat energy spectrum and compactly localized eigenmodes, forming an Aharonov-Bohm cage. We study numerically how this localization is affected by different types of disorder (static and time-evolving) relevant to recent realizations of Aharonov-Bohm cages in periodically modulated optical waveguide arrays. We demonstrate robustness of localization under static and time-periodic disorder. In contrast, nonquenched (time-dependent) disorder leads to wave-packet spreading and delocalization.
T2  - Physical Review A
T1  - Influence of different disorder types on Aharonov-Bohm caging in the diamond chain
VL  - 101
IS  - 2
SP  - 023839
DO  - 10.1103/PhysRevA.101.023839
ER  - 

@article{
author = "Gligorić, Goran and Leykam, Daniel and Maluckov, Aleksandra",
year = "2020",
abstract = "The linear diamond chain with fine-tuned effective magnetic flux has a completely flat energy spectrum and compactly localized eigenmodes, forming an Aharonov-Bohm cage. We study numerically how this localization is affected by different types of disorder (static and time-evolving) relevant to recent realizations of Aharonov-Bohm cages in periodically modulated optical waveguide arrays. We demonstrate robustness of localization under static and time-periodic disorder. In contrast, nonquenched (time-dependent) disorder leads to wave-packet spreading and delocalization.",
journal = "Physical Review A",
title = "Influence of different disorder types on Aharonov-Bohm caging in the diamond chain",
volume = "101",
number = "2",
pages = "023839",
doi = "10.1103/PhysRevA.101.023839"
}

Gligorić, G., Leykam, D.,& Maluckov, A.. (2020). Influence of different disorder types on Aharonov-Bohm caging in the diamond chain. in Physical Review A, 101(2), 023839.
https://doi.org/10.1103/PhysRevA.101.023839

Gligorić G, Leykam D, Maluckov A. Influence of different disorder types on Aharonov-Bohm caging in the diamond chain. in Physical Review A. 2020;101(2):023839.
doi:10.1103/PhysRevA.101.023839 .

Gligorić, Goran, Leykam, Daniel, Maluckov, Aleksandra, "Influence of different disorder types on Aharonov-Bohm caging in the diamond chain" in Physical Review A, 101, no. 2 (2020):023839,
https://doi.org/10.1103/PhysRevA.101.023839 . .