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Topology and Broken Symmetry in Floquet Systems
Annual Review of Condensed Matter Physics ( IF 14.3 ) Pub Date : 2020-03-16 , DOI: 10.1146/annurev-conmatphys-031218-013721
Fenner Harper 1 , Rahul Roy 1 , Mark S. Rudner 2 , S.L. Sondhi 3
Affiliation  

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.

中文翻译:


浮球系统的拓扑和对称性

浮球系统由周期性的,时间相关的哈密顿量控制。从表面上看,它们应从参与调节其联轴器的外部驱动器吸收能量并加热至无限温度。但是,可以通过多种方式避免这种不愉快的状况。相反,从最近的工作中可以明显看出,Floquet系统可以表现出各种非平凡的行为-在非驱动系统中这是不可能的。在这篇综述中,我们描述了这项工作的主要思想和主题:新颖的Floquet驱动器在单粒子系统中展现出非平凡的拓扑结构,交互系统中奇异Floquet驱动器的存在和分类以及多体Floquet相的伴随概念以及它们对加热的稳定性的争论。

更新日期:2020-04-21
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