Topology and Broken Symmetry in Floquet Systems

被引：162

作者：

Harper, Fenner ^{[1
]}

Roy, Rahul ^{[1
]}

Rudner, Mark S. ^{[2
,3
]}

Sondhi, S. L. ^{[4
]}

机构：

[1] Univ Calif Los Angeles, Dept Phys & Astron, Mani L Bhaumik Inst Theoret Phys, Los Angeles, CA 90095 USA

[2] Univ Copenhagen, Ctr Quantum Devices, DK-2100 Copenhagen, Denmark

[3] Univ Copenhagen, Niels Bohr Int Acad, Niels Bohr Inst, DK-2100 Copenhagen, Denmark

[4] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA

来源：

ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 11, 2020 | 2020年 / 11卷

基金：

美国国家科学基金会; 欧洲研究理事会;

关键词：

Floquet topological phases; Floquet symmetry-breaking phases; heating and localization in Floquet systems; nonequilibrium quantum systems; QUANTIZED HALL CONDUCTANCE; PERIODICALLY DRIVEN; QUANTUM; STATES;

D O I：

10.1146/annurev-conmatphys-031218-013721

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

Floquet systems are governed by periodic, time-dependent Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and heat up to infinite temperature. However, this unhappy state of affairs can be avoided in many ways. Instead, as has become clear from much recent work, Floquet systems can exhibit a variety of nontrivial behavior-some of which is impossible in undriven systems. In this review, we describe the main ideas and themes of this work: novel Floquet drives that exhibit nontrivial topology in single-particle systems, the existence and classification of exotic Floquet drives in interacting systems, and the attendant notion of many-body Floquet phases and arguments for their stability to heating.

引用

页码：345 / 368

页数：24

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