Topology and Broken Symmetry in Floquet Systems

Fenner Harper, Rahul Roy, Mark S. Rudner, S. L. Sondhi

Research output: Contribution to journalReview articlepeer-review

122 Scopus citations


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 behaviorsome 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.

Original languageEnglish (US)
Pages (from-to)345-368
Number of pages24
JournalAnnual Review of Condensed Matter Physics
StatePublished - Mar 10 2020

All Science Journal Classification (ASJC) codes

  • General Materials Science
  • Condensed Matter Physics


  • Floquet symmetry-breaking phases
  • Floquet topological phases
  • Heating and localization in Floquet systems
  • Nonequilibrium quantum systems


Dive into the research topics of 'Topology and Broken Symmetry in Floquet Systems'. Together they form a unique fingerprint.

Cite this