Floquet engineering, i.e., periodic modulation of a system's parameters, has proven as a powerful experimental tool for the realization of quantum systems with exotic properties that have no static analog. In particular, the so-called anomalous Floquet phase displays topological properties even if the Chern number of the bulk band vanishes.[1] I will present an experimental system consists of bosonic atoms in a periodically driven honeycomb lattice. Depending on the driving parameters several out-of-equilibrium topological phases can be realized, including an anomalous phase [2]. A programmable optical potentials enables the study of edge dynamics in such topological systems. I will report on the investigation of the real-space evolution of an initially localized wavepacket close to the edge after releasing it from a tightly-focused optical tweezer. The chiral nature of the edge state si observed, even in the anomalous Floquet phase, thereby directly revealing the topological nature of this phase. [3]
[1] Rudner, et al. Anomalous edge states and the bulk-edge correspondence for periodically-driven two dimensional systems, Phys. Rev. X 3, 031005 (2013)
[2] Wintersperger, et al. Realization of an anomalous Floquet topological system with ultracold atoms. Nat. Phys. 16, 1058–1063 (2020)
[3] Braun et al, Nat. Phys 20, 1306-1312 (2024)
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