Nonlinear signatures of Floquet band topologyNonlinear signatures of Floquet band topology Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2024-03-052022enWe 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.This research was supported in part by the Polisimulator project cofinanced by Greece and the EU Regional Development Fund.http://creativecommons.org/licenses/by/4.0/Physical Review B (condensed matter and materials physics)10511 Maluckov Aleksandra Smolina Ekaterina Leykam Daniel Gündoğdu Sinan Angelakis Dimitrios Αγγελακης Δημητριος Smirnova Daria American Physical Society Nonlinear optics Photonics Topological materials