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Nonlinear signatures of Floquet band topology

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Title
Nonlinear signatures of Floquet band topology
Author(s)
Maluckov, Aleksandra; Smolina, Ekaterina; Leykam, Daniel; Sinan Gündoǧdu; Angelakis, Dimitris G.; Smirnova, Daria A.
Publication Date
2022-03
Journal
Physical Review B, v.105, no.11
Publisher
American Physical Society
Abstract
© 2022 American Physical Society.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.
URI
https://pr.ibs.re.kr/handle/8788114/11458
DOI
10.1103/PhysRevB.105.115133
ISSN
2469-9950
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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