Unified Theory to Characterize Floquet Topological Phases by Quench Dynamics

Physical Review Letters
Long ZhangXiong-Jun Liu

Abstract

The conventional characterization of periodically driven systems usually necessitates the time-domain information beyond Floquet bands, hence lacking universal and direct schemes of measuring Floquet topological invariants. Here we propose a unified theory, based on quantum quenches, to characterize generic d-dimensional Floquet topological phases in which the topological invariants are constructed with only minimal information of the static Floquet bands. For a d-dimensional phase that is initially static and trivial, we introduce the quench dynamics by suddenly turning on the periodic driving. We show that the quench dynamics exhibits emergent topological patterns in (d-1)-dimensional momentum subspaces where Floquet bands cross, from which the Floquet topological invariants are directly obtained. This result provides a simple and unified characterization in which one can extract the number of conventional and anomalous Floquet boundary modes and identify the topologically protected singularities in the phase bands. These applications are illustrated with one- and two-dimensional models that are readily accessible in cold-atom experiments. Our study opens a new framework for the characterization of Floquet topological phases.

References

Apr 13, 2013·Nature·Mikael C RechtsmanAlexander Szameit
Feb 15, 2013·Physical Review Letters·Xiong-Jun LiuMeng Cheng
Mar 31, 2015·Physical Review Letters·David CarpentierKrzysztof Gawędzki
Jan 5, 2017·Nature Communications·Sebabrata MukherjeeRobert R Thomson
Jan 5, 2017·Nature Communications·Lukas J MaczewskyAlexander Szameit
Feb 16, 2018·Reports on Progress in Physics·Markus Heyl
Mar 2, 2018·Science Advances·Bo SongGyu-Boong Jo
Oct 27, 2018·Physical Review Letters·Wei SunJian-Wei Pan
Jan 5, 2019·Physical Review Letters·Wei SunJian-Wei Pan
Aug 7, 2019·Physical Review Letters·Yang Peng, Gil Refael
Nov 26, 2019·Physical Review Letters·Chang-Rui YiJian-Wei Pan
Feb 23, 2020·Physical Review Letters·Haiping HuW Vincent Liu
May 10, 2020·Physical Review Letters·Haiping Hu, Erhai Zhao
Jul 24, 2020·Physical Review Letters·Wentao JiJiangfeng Du

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Citations

Oct 9, 2021·Light, Science & Applications·Danying YuLuqi Yuan

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