Topology and Broken Symmetry in Floquet Systems

Research output: Contribution to journal › Review › Research › peer-review

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Topology and Broken Symmetry in Floquet Systems. / Harper, Fenner; Roy, Rahul; Rudner, Mark S.; Sondhi, S. L.

In: Annual Review of Condensed Matter Physics, Vol. 11, 10.03.2020, p. 345-368.

Research output: Contribution to journal › Review › Research › peer-review

Harvard

Harper, F, Roy, R, Rudner, MS & Sondhi, SL 2020, 'Topology and Broken Symmetry in Floquet Systems', Annual Review of Condensed Matter Physics, vol. 11, pp. 345-368. https://doi.org/10.1146/annurev-conmatphys-031218-013721

APA

Harper, F., Roy, R., Rudner, M. S., & Sondhi, S. L. (2020). Topology and Broken Symmetry in Floquet Systems. Annual Review of Condensed Matter Physics, 11, 345-368. https://doi.org/10.1146/annurev-conmatphys-031218-013721

Vancouver

Harper F, Roy R, Rudner MS, Sondhi SL. Topology and Broken Symmetry in Floquet Systems. Annual Review of Condensed Matter Physics. 2020 Mar 10;11:345-368. https://doi.org/10.1146/annurev-conmatphys-031218-013721

Author

Harper, Fenner ; Roy, Rahul ; Rudner, Mark S. ; Sondhi, S. L. / Topology and Broken Symmetry in Floquet Systems. In: Annual Review of Condensed Matter Physics. 2020 ; Vol. 11. pp. 345-368.

Bibtex

@article{c1cac4cc9fca41d4916699b6ef7c81ab,
title = "Topology and Broken Symmetry in Floquet Systems",
abstract = "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.",
keywords = "Floquet symmetry-breaking phases, Floquet topological phases, Heating and localization in Floquet systems, Nonequilibrium quantum systems",
author = "Fenner Harper and Rahul Roy and Rudner, {Mark S.} and Sondhi, {S. L.}",
year = "2020",
month = mar,
day = "10",
doi = "10.1146/annurev-conmatphys-031218-013721",
language = "English",
volume = "11",
pages = "345--368",
journal = "Annual Review of Condensed Matter Physics",
issn = "1947-5454",
publisher = "Annual Reviews, inc.",

}

RIS

TY - JOUR

T1 - Topology and Broken Symmetry in Floquet Systems

AU - Harper, Fenner

AU - Roy, Rahul

AU - Rudner, Mark S.

AU - Sondhi, S. L.

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

U2 - 10.1146/annurev-conmatphys-031218-013721

DO - 10.1146/annurev-conmatphys-031218-013721

M3 - Review

AN - SCOPUS:85082108150

VL - 11

SP - 345

EP - 368

JO - Annual Review of Condensed Matter Physics

JF - Annual Review of Condensed Matter Physics

SN - 1947-5454

ER -

ID: 239023552