Stojanović, Mirjana G.

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  • Stojanović, Mirjana G. (3)

Author's Bibliography

Nonlinear compact localized modes in flux-dressed octagonal-diamond lattice

Stojanović, Mirjana G.; Gundogdu, Sinan; Leykam, Daniel; Angelakis, Dimitris G.; Stojanović Krasić, Marija; Stepić, Milutin; Maluckov, Aleksandra

(2022)

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 . .
1

Localized modes in linear and nonlinear octagonal-diamond lattices with two flat bands

Stojanović, Mirjana G.; Krasić Stojanović, Marija; Maluckov, Aleksandra; Johansson, Magnus M.; Salinas, I. A.; Vicencio, Rodrigo A.; Stepić, Milutin

(2020)

TY  - JOUR
AU  - Stojanović, Mirjana G.
AU  - Krasić Stojanović, Marija
AU  - Maluckov, Aleksandra
AU  - Johansson, Magnus M.
AU  - Salinas, I. A.
AU  - Vicencio, Rodrigo A.
AU  - Stepić, Milutin
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9664
AB  - We consider a two-dimensional octagonal-diamond network with a fine-tuned diagonal coupling inside the diamond-shaped unit cell. Its linear spectrum exhibits coexistence of two dispersive bands (DBs) and two flat bands (FBs), touching one of the DBs embedded between them. Analogous to the kagome lattice, one of the FBs will constitute the ground state of the system for a proper sign choice of the Hamiltonian. The system is characterized by two different flat-band fundamental octagonal compactons, originating from the destructive interference of fully geometric nature. In the presence of a nonlinear amplitude (on-site) perturbation, the single-octagon linear modes continue into one-parameter families of nonlinear compact modes with the same amplitude and phase structure. However, numerical stability analysis indicates that all strictly compact nonlinear modes are unstable, either purely exponentially or with oscillatory instabilities, for weak and intermediate nonlinearities and sufficiently large system sizes. Stabilization may appear in certain ranges for finite systems and, for the compacton originating from the band at the spectral edge, also in a regime of very large focusing nonlinearities. In contrast to the kagome lattice, the latter compacton family will become unstable already for arbitrarily weak defocusing nonlinearity for large enough systems. We show analytically the existence of a critical system size consisting of 12 octagon rings, such that the ground state for weak defocusing nonlinearity is a stable single compacton for smaller systems, and a continuation of a nontrivial, noncompact linear combination of single compacton modes for larger systems. Investigating generally the different nonlinear localized (noncompact) mode families in the semi-infinite gap bounded by this FB, we find that, for increasing (defocusing) nonlinearity the stable ground state will continuously develop into an exponentially localized mode with two main peaks in antiphase. At a critical nonlinearity strength a symmetry-breaking pitchfork bifurcation appears, so that the stable ground state is single peaked for larger defocusing nonlinearities. We also investigate numerically the mobility of localized modes in this regime and find that the considered modes are generally immobile both with respect to axial and diagonal phase-gradient perturbations.
T2  - Physical Review A
T1  - Localized modes in linear and nonlinear octagonal-diamond lattices with two flat bands
VL  - 102
IS  - 2
SP  - 023532
DO  - 10.1103/PhysRevA.102.023532
ER  - 
@article{
author = "Stojanović, Mirjana G. and Krasić Stojanović, Marija and Maluckov, Aleksandra and Johansson, Magnus M. and Salinas, I. A. and Vicencio, Rodrigo A. and Stepić, Milutin",
year = "2020",
abstract = "We consider a two-dimensional octagonal-diamond network with a fine-tuned diagonal coupling inside the diamond-shaped unit cell. Its linear spectrum exhibits coexistence of two dispersive bands (DBs) and two flat bands (FBs), touching one of the DBs embedded between them. Analogous to the kagome lattice, one of the FBs will constitute the ground state of the system for a proper sign choice of the Hamiltonian. The system is characterized by two different flat-band fundamental octagonal compactons, originating from the destructive interference of fully geometric nature. In the presence of a nonlinear amplitude (on-site) perturbation, the single-octagon linear modes continue into one-parameter families of nonlinear compact modes with the same amplitude and phase structure. However, numerical stability analysis indicates that all strictly compact nonlinear modes are unstable, either purely exponentially or with oscillatory instabilities, for weak and intermediate nonlinearities and sufficiently large system sizes. Stabilization may appear in certain ranges for finite systems and, for the compacton originating from the band at the spectral edge, also in a regime of very large focusing nonlinearities. In contrast to the kagome lattice, the latter compacton family will become unstable already for arbitrarily weak defocusing nonlinearity for large enough systems. We show analytically the existence of a critical system size consisting of 12 octagon rings, such that the ground state for weak defocusing nonlinearity is a stable single compacton for smaller systems, and a continuation of a nontrivial, noncompact linear combination of single compacton modes for larger systems. Investigating generally the different nonlinear localized (noncompact) mode families in the semi-infinite gap bounded by this FB, we find that, for increasing (defocusing) nonlinearity the stable ground state will continuously develop into an exponentially localized mode with two main peaks in antiphase. At a critical nonlinearity strength a symmetry-breaking pitchfork bifurcation appears, so that the stable ground state is single peaked for larger defocusing nonlinearities. We also investigate numerically the mobility of localized modes in this regime and find that the considered modes are generally immobile both with respect to axial and diagonal phase-gradient perturbations.",
journal = "Physical Review A",
title = "Localized modes in linear and nonlinear octagonal-diamond lattices with two flat bands",
volume = "102",
number = "2",
pages = "023532",
doi = "10.1103/PhysRevA.102.023532"
}
Stojanović, M. G., Krasić Stojanović, M., Maluckov, A., Johansson, M. M., Salinas, I. A., Vicencio, R. A.,& Stepić, M.. (2020). Localized modes in linear and nonlinear octagonal-diamond lattices with two flat bands. in Physical Review A, 102(2), 023532.
https://doi.org/10.1103/PhysRevA.102.023532
Stojanović MG, Krasić Stojanović M, Maluckov A, Johansson MM, Salinas IA, Vicencio RA, Stepić M. Localized modes in linear and nonlinear octagonal-diamond lattices with two flat bands. in Physical Review A. 2020;102(2):023532.
doi:10.1103/PhysRevA.102.023532 .
Stojanović, Mirjana G., Krasić Stojanović, Marija, Maluckov, Aleksandra, Johansson, Magnus M., Salinas, I. A., Vicencio, Rodrigo A., Stepić, Milutin, "Localized modes in linear and nonlinear octagonal-diamond lattices with two flat bands" in Physical Review A, 102, no. 2 (2020):023532,
https://doi.org/10.1103/PhysRevA.102.023532 . .
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Localized modes in a two-dimensional lattice with a pluslike geometry

Stojanović Krasić, Marija; Stojanović, Mirjana G.; Maluckov, Aleksandra; Maczewsky, Lukas J.; Szameit, Alexander; Stepić, Milutin

(2020)

TY  - JOUR
AU  - Stojanović Krasić, Marija
AU  - Stojanović, Mirjana G.
AU  - Maluckov, Aleksandra
AU  - Maczewsky, Lukas J.
AU  - Szameit, Alexander
AU  - Stepić, Milutin
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9684
AB  - We investigate analytically and numerically the existence and dynamical stability of different localized modes in a two-dimensional photonic lattice comprising a square plaquette inscribed in the dodecagon lattices. The eigenvalue spectrum of the underlying linear lattice is characterized by a net formed of one flat band and four dispersive bands. By tailoring the intersite coupling coefficient ratio, opening of gaps between two pairs of neighboring dispersive bands can be induced, while the fully degenerate flat band characterized by compact eigenmodes stays nested between two inner dispersive bands. The nonlinearity destabilizes the compact modes and gives rise to unique families of localized modes in the newly opened gaps, as well as in the semi-infinite gaps. The governing mechanism of mode localization in that case is the light energy self-trapping effect. We have shown the stability of a few families of nonlinear modes in gaps. The suggested lattice model may serve for probing various artificial flat-band systems such as ultracold atoms in optical lattices, periodic electronic networks, and polariton condensates.
T2  - Physical Review E
T1  - Localized modes in a two-dimensional lattice with a pluslike geometry
VL  - 102
IS  - 3
SP  - 032207
DO  - 10.1103/PhysRevE.102.032207
ER  - 
@article{
author = "Stojanović Krasić, Marija and Stojanović, Mirjana G. and Maluckov, Aleksandra and Maczewsky, Lukas J. and Szameit, Alexander and Stepić, Milutin",
year = "2020",
abstract = "We investigate analytically and numerically the existence and dynamical stability of different localized modes in a two-dimensional photonic lattice comprising a square plaquette inscribed in the dodecagon lattices. The eigenvalue spectrum of the underlying linear lattice is characterized by a net formed of one flat band and four dispersive bands. By tailoring the intersite coupling coefficient ratio, opening of gaps between two pairs of neighboring dispersive bands can be induced, while the fully degenerate flat band characterized by compact eigenmodes stays nested between two inner dispersive bands. The nonlinearity destabilizes the compact modes and gives rise to unique families of localized modes in the newly opened gaps, as well as in the semi-infinite gaps. The governing mechanism of mode localization in that case is the light energy self-trapping effect. We have shown the stability of a few families of nonlinear modes in gaps. The suggested lattice model may serve for probing various artificial flat-band systems such as ultracold atoms in optical lattices, periodic electronic networks, and polariton condensates.",
journal = "Physical Review E",
title = "Localized modes in a two-dimensional lattice with a pluslike geometry",
volume = "102",
number = "3",
pages = "032207",
doi = "10.1103/PhysRevE.102.032207"
}
Stojanović Krasić, M., Stojanović, M. G., Maluckov, A., Maczewsky, L. J., Szameit, A.,& Stepić, M.. (2020). Localized modes in a two-dimensional lattice with a pluslike geometry. in Physical Review E, 102(3), 032207.
https://doi.org/10.1103/PhysRevE.102.032207
Stojanović Krasić M, Stojanović MG, Maluckov A, Maczewsky LJ, Szameit A, Stepić M. Localized modes in a two-dimensional lattice with a pluslike geometry. in Physical Review E. 2020;102(3):032207.
doi:10.1103/PhysRevE.102.032207 .
Stojanović Krasić, Marija, Stojanović, Mirjana G., Maluckov, Aleksandra, Maczewsky, Lukas J., Szameit, Alexander, Stepić, Milutin, "Localized modes in a two-dimensional lattice with a pluslike geometry" in Physical Review E, 102, no. 3 (2020):032207,
https://doi.org/10.1103/PhysRevE.102.032207 . .
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