Kavli Affiliate: Xiang Zhang
| First 5 Authors: Kaiye Shi, Xiang Zhang, Wei Zhang, ,
| Summary:
Recently, anomalous Floquet topological phases without static counterparts
have been observed in different systems, where periodically driven models are
realized to support a winding number of 1 and a pair of edge modes in each
quasienergy gap. Here, we focus on cold atomic gases in optical lattices and
propose a novel driving scheme that breaks rotation symmetry but maintains
inversion symmetry of the instantaneous Hamiltonian, and discover a novel type
of anomalous Floquet topological phase with winding number larger than 1. By
analyzing the condition of band touching under symmetry constraint, we map out
the phase diagram exactly by varying the driving parameters and discuss the
quasienergy spectra of typical topological phases, which can present multiple
pairs of edge modes within a single gap. Finally, we suggest to characterize
the topology of such phases by detecting the band inversion surfaces via quench
dynamics.
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