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.
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 . .
