TY - JOUR
T1 - Topology and Broken Symmetry in Floquet Systems
AU - Harper, Fenner
AU - Roy, Rahul
AU - Rudner, Mark S.
AU - Sondhi, S. L.
N1 - Funding Information:
We also gratefully acknowledge support from the National Science Foundation under CAREER DMR-1455368 (F.H. and R.R.); the European Research Council (ERC) under the European Union Horizon 2020 Research and Innovation Programme (Grant Agreement No. 678862) and the Villum Foundation (M.S.R.); and the US Department of Energy grant no. DESC0016244 (S.L.S.). This research was also developed with funding from the Defense Advanced Research Projects Agency (DARPA) via the DRINQS program
Publisher Copyright:
Copyright © 2020 by Annual Reviews. All rights reserved.
PY - 2020/3/10
Y1 - 2020/3/10
N2 - 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.
AB - 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.
KW - Floquet symmetry-breaking phases
KW - Floquet topological phases
KW - Heating and localization in Floquet systems
KW - Nonequilibrium quantum systems
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U2 - 10.1146/annurev-conmatphys-031218-013721
DO - 10.1146/annurev-conmatphys-031218-013721
M3 - Review article
AN - SCOPUS:85082108150
SN - 1947-5454
VL - 11
SP - 345
EP - 368
JO - Annual Review of Condensed Matter Physics
JF - Annual Review of Condensed Matter Physics
ER -