The anomalous Floquet Anderson insulator in a continuously driven optical lattice

Abstract

The anomalous Floquet Anderson insulator (AFAI) has been theoretically predicted in step-wise periodically driven models, but its stability under more general driving protocols hasn't been determined. We show that adding disorder to the anomalous Floquet topological insulator realized with a continuous driving protocol in the experiment by K. Wintersperger et. al., Nat. Phys. $\text{16}$, 1058 (2020), supports an AFAI phase, where, for a range of disorder strengths, all the time averaged bulk states become localized, while the pumped charge in a Laughlin pump setup remains quantized.

5 pages, 4 figures in the main text; 6 pages, 4 figures in the supplement. Comments are welcome

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• Localization of interacting fermions at high temperature
• Topological characterization of periodically-driven quantum systems
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
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Cited by in corpus (3)

• Geometric Floquet theory
• Floquet topological phase transitions induced by uncorrelated or correlated disorder
• Recent progress on disorder-induced topological phases