Floquet系统的拓扑与破对称性

IF 14.3 1区物理与天体物理 Q1 PHYSICS, CONDENSED MATTER

Annual Review of Condensed Matter Physics Pub Date : 2019-05-03 DOI:10.1146/annurev-conmatphys-031218-013721

Fenner Harper, R. Roy, M. Rudner, S. Sondhi

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引用次数: 140

摘要

Floquet系统由周期的、时变的哈密顿量控制。表面上看，它们应该从外部驱动器中吸收能量，以调制它们的耦合并加热到无限的温度。然而，这种不愉快的状态可以通过许多方法来避免。相反，从最近的许多工作中可以清楚地看出，Floquet系统可以表现出各种各样的重要行为，其中一些在非驱动系统中是不可能的。在这篇综述中，我们描述了这项工作的主要思想和主题:在单粒子系统中表现出非平凡拓扑的新型Floquet驱动器，相互作用系统中奇异Floquet驱动器的存在和分类，以及随之而来的多体Floquet相的概念及其对加热稳定性的争论。

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Topology and Broken Symmetry in Floquet Systems

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.

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来源期刊

Annual Review of Condensed Matter Physics PHYSICS, CONDENSED MATTER-

CiteScore

47.40

自引率

0.90%

发文量

期刊介绍： Since its inception in 2010, the Annual Review of Condensed Matter Physics has been chronicling significant advancements in the field and its related subjects. By highlighting recent developments and offering critical evaluations, the journal actively contributes to the ongoing discourse in condensed matter physics. The latest volume of the journal has transitioned from gated access to open access, facilitated by Annual Reviews' Subscribe to Open initiative. Under this program, all articles are now published under a CC BY license, ensuring broader accessibility and dissemination of knowledge.