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Nonlinear signatures of Floquet band topology

Maluckov Aleksandra, Smolina Ekaterina, Leykam Daniel, Gündoğdu Sinan, Angelakis Dimitrios, Smirnova Daria

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URI: http://purl.tuc.gr/dl/dias/CDBCB174-BF58-4A02-A67C-D099FB502AD2
Year 2022
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation A. Maluckov, E. Smolina, D. Leykam, S. Gündoğdu, D. G. Angelakis and D. A. Smirnova, “Nonlinear signatures of Floquet band topology,” Phys. Rev. B, vol. 105, no. 11, Mar. 2022, doi: 10.1103/physrevb.105.115133. https://doi.org/10.1103/PhysRevB.105.115133
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Summary

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.

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