Absolute stability and spatiotemporal long-range order in Floquet systems

Curt Von Keyserlingk, Vedika Khemani, S. L. Sondhi

Research output: Contribution to journalArticlepeer-review

140 Citations (Scopus)


Recent work has shown that a variety of novel phases of matter arise in periodically driven Floquet systems. Among these are many-body localized phases which spontaneously break global symmetries and exhibit novel multiplets of Floquet eigenstates separated by quantized quasienergies. Here we show that these properties are stable to all weak local deformations of the underlying Floquet drives - including those that explicitly break the defining symmetries - and that the models considered until now occupy submanifolds within these larger "absolutely stable" phases. While these absolutely stable phases have no explicit global symmetries, they spontaneously break Hamiltonian-dependent emergent symmetries, and thus continue to exhibit the novel multiplet structure. The multiplet structure in turn encodes characteristic oscillations of the emergent order parameter at multiples of the fundamental period. Altogether these phases exhibit a form of simultaneous long-range order in space and time which is new to quantum systems. We describe how this spatiotemporal order can be detected in experiments involving quenches from a broad class of initial states.

Original languageEnglish
Article number085112
Number of pages11
JournalPhysical Review B
Issue number8
Publication statusPublished - 8 Aug 2016

ASJC Scopus subject areas

  • Condensed Matter Physics


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