Kavli Affiliate: Long Zhang
| First 5 Authors: Bei-Bei Wang, Long Zhang, , ,
| Summary:
We investigate the dynamical characterization theory for periodically driven
systems in which Floquet topology can be fully detected by emergent topological
patterns of quench dynamics in momentum subspaces called band-inversion
surfaces. We improve the results of a recent work [Phys. Rev. Lett. {bf 125},
183001 (2020)] and propose a more flexible scheme to characterize a generic
class of $d$-dimensional Floquet topological phases by applying a quench along
an arbitrary spin-polarization axis. Our basic idea is that by disassembling
the Floquet system into multiple static subsystems that are periodic in
quasienergy, a full characterization of Floquet topological phases reduces to
identifying a series of bulk topological invariants for time-independent
Hamiltonians, which greatly enhances the convenience and flexibility of the
measurement. We illustrate the scheme by numerically analyzing two
experimentally realizable models in two and three dimensions, respectively, and
adopting two different but equivalent viewpoints to examine the dynamical
characterization. Finally, considering the imperfection of experiment, we
demonstrate that the present scheme can also be applied to a general situation
where the initial state is not completely polarized. This study provides an
immediately implementable approach for dynamically classifying Floquet
topological phases in ultracold atoms or other quantum simulators.
| Search Query: ArXiv Query: search_query=au:”Long Zhang”&id_list=&start=0&max_results=3