Leykam, Daniel

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  • Leykam, Daniel (7)
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Author's Bibliography

Nonlinear signatures of Floquet band topology

Maluckov, Aleksandra; Smolina, Ekaterina; Leykam, Daniel; Gündoğdu, Sinan; Angelakis, Dimitris G.; Smirnova, Daria A.

(2022)

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 . .
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1

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

Probing Band Topology Using Modulational Instability

Leykam, Daniel; Smolina, Ekaterina; Maluckov, Aleksandra; Flach, Sergej; Smirnova, Daria A

(2021)

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 . .
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Nonlinear Bloch wave dynamics in photonic Aharonov–Bohm cages

Chang, Nana; Gundogdu, Sinan; Leykam, Daniel; Angelakis, Dimitris G.; Kou, SuPeng; Flach, Sergej; Maluckov, Aleksandra

(2021)

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 . .
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1
2

Influence of different disorder types on Aharonov-Bohm caging in the diamond chain

Gligorić, Goran; Leykam, Daniel; Maluckov, Aleksandra

(2020)

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 . .
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5
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Nonlinear symmetry breaking of Aharonov-Bohm cages

Gligorić, Goran; Beličev, Petra; Leykam, Daniel; Maluckov, Aleksandra

(2019)

TY  - JOUR
AU  - Gligorić, Goran
AU  - Beličev, Petra
AU  - Leykam, Daniel
AU  - Maluckov, Aleksandra
PY  - 2019
UR  - https://link.aps.org/doi/10.1103/PhysRevA.99.013826
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8035
AB  - We study the influence of mean-field cubic nonlinearity on Aharonov-Bohm caging in a diamond lattice with synthetic magnetic flux. For sufficiently weak nonlinearities, the Aharonov-Bohm caging persists as periodic nonlinear breathing dynamics. Above a critical nonlinearity, symmetry breaking induces a sharp transition in the dynamics and enables stronger wave-packet spreading. This transition is distinct from other flatband networks, where continuous spreading is induced by effective nonlinear hopping or resonances with delocalized modes and is in contrast to the quantum limit, where two-particle hopping enables arbitrarily large spreading. This nonlinear symmetry-breaking transition is readily observable in femtosecond laser-written waveguide arrays. © 2019 American Physical Society.
T2  - Physical Review A
T1  - Nonlinear symmetry breaking of Aharonov-Bohm cages
VL  - 99
IS  - 1
SP  - 013826
DO  - 10.1103/PhysRevA.99.013826
ER  - 
@article{
author = "Gligorić, Goran and Beličev, Petra and Leykam, Daniel and Maluckov, Aleksandra",
year = "2019",
abstract = "We study the influence of mean-field cubic nonlinearity on Aharonov-Bohm caging in a diamond lattice with synthetic magnetic flux. For sufficiently weak nonlinearities, the Aharonov-Bohm caging persists as periodic nonlinear breathing dynamics. Above a critical nonlinearity, symmetry breaking induces a sharp transition in the dynamics and enables stronger wave-packet spreading. This transition is distinct from other flatband networks, where continuous spreading is induced by effective nonlinear hopping or resonances with delocalized modes and is in contrast to the quantum limit, where two-particle hopping enables arbitrarily large spreading. This nonlinear symmetry-breaking transition is readily observable in femtosecond laser-written waveguide arrays. © 2019 American Physical Society.",
journal = "Physical Review A",
title = "Nonlinear symmetry breaking of Aharonov-Bohm cages",
volume = "99",
number = "1",
pages = "013826",
doi = "10.1103/PhysRevA.99.013826"
}
Gligorić, G., Beličev, P., Leykam, D.,& Maluckov, A.. (2019). Nonlinear symmetry breaking of Aharonov-Bohm cages. in Physical Review A, 99(1), 013826.
https://doi.org/10.1103/PhysRevA.99.013826
Gligorić G, Beličev P, Leykam D, Maluckov A. Nonlinear symmetry breaking of Aharonov-Bohm cages. in Physical Review A. 2019;99(1):013826.
doi:10.1103/PhysRevA.99.013826 .
Gligorić, Goran, Beličev, Petra, Leykam, Daniel, Maluckov, Aleksandra, "Nonlinear symmetry breaking of Aharonov-Bohm cages" in Physical Review A, 99, no. 1 (2019):013826,
https://doi.org/10.1103/PhysRevA.99.013826 . .
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Nonlinear symmetry breaking of Aharonov-Bohm cages

Gligorić, Goran; Beličev, Petra; Leykam, Daniel; Maluckov, Aleksandra

(2019)

TY  - JOUR
AU  - Gligorić, Goran
AU  - Beličev, Petra
AU  - Leykam, Daniel
AU  - Maluckov, Aleksandra
PY  - 2019
UR  - https://link.aps.org/doi/10.1103/PhysRevA.99.013826
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8035
UR  - https://arxiv.org/pdf/1810.01618.pdf
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8039
AB  - We study the influence of mean-field cubic nonlinearity on Aharonov-Bohm caging in a diamond lattice with synthetic magnetic flux. For sufficiently weak nonlinearities, the Aharonov-Bohm caging persists as periodic nonlinear breathing dynamics. Above a critical nonlinearity, symmetry breaking induces a sharp transition in the dynamics and enables stronger wave-packet spreading. This transition is distinct from other flatband networks, where continuous spreading is induced by effective nonlinear hopping or resonances with delocalized modes and is in contrast to the quantum limit, where two-particle hopping enables arbitrarily large spreading. This nonlinear symmetry-breaking transition is readily observable in femtosecond laser-written waveguide arrays. © 2019 American Physical Society.
T2  - Physical Review A
T1  - Nonlinear symmetry breaking of Aharonov-Bohm cages
VL  - 99
IS  - 1
SP  - 013826
DO  - 10.1103/PhysRevA.99.013826
ER  - 
@article{
author = "Gligorić, Goran and Beličev, Petra and Leykam, Daniel and Maluckov, Aleksandra",
year = "2019",
abstract = "We study the influence of mean-field cubic nonlinearity on Aharonov-Bohm caging in a diamond lattice with synthetic magnetic flux. For sufficiently weak nonlinearities, the Aharonov-Bohm caging persists as periodic nonlinear breathing dynamics. Above a critical nonlinearity, symmetry breaking induces a sharp transition in the dynamics and enables stronger wave-packet spreading. This transition is distinct from other flatband networks, where continuous spreading is induced by effective nonlinear hopping or resonances with delocalized modes and is in contrast to the quantum limit, where two-particle hopping enables arbitrarily large spreading. This nonlinear symmetry-breaking transition is readily observable in femtosecond laser-written waveguide arrays. © 2019 American Physical Society.",
journal = "Physical Review A",
title = "Nonlinear symmetry breaking of Aharonov-Bohm cages",
volume = "99",
number = "1",
pages = "013826",
doi = "10.1103/PhysRevA.99.013826"
}
Gligorić, G., Beličev, P., Leykam, D.,& Maluckov, A.. (2019). Nonlinear symmetry breaking of Aharonov-Bohm cages. in Physical Review A, 99(1), 013826.
https://doi.org/10.1103/PhysRevA.99.013826
Gligorić G, Beličev P, Leykam D, Maluckov A. Nonlinear symmetry breaking of Aharonov-Bohm cages. in Physical Review A. 2019;99(1):013826.
doi:10.1103/PhysRevA.99.013826 .
Gligorić, Goran, Beličev, Petra, Leykam, Daniel, Maluckov, Aleksandra, "Nonlinear symmetry breaking of Aharonov-Bohm cages" in Physical Review A, 99, no. 1 (2019):013826,
https://doi.org/10.1103/PhysRevA.99.013826 . .
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