Solvable model for discrete time crystal enforced by nonsymmorphic dynamical symmetry

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

  • Zi-Ang Hu
  • Bo Fu
  • Xiao LI
  • Shun-Qing Shen

Detail(s)

Original languageEnglish
Journal / PublicationPhysical Review Research
Volume5
Issue number3
Online published18 Aug 2023
Publication statusPublished - Aug 2023

Link(s)

Abstract

Discrete time crystal is a class of nonequilibrium quantum systems exhibiting subharmonic responses to external periodic driving. Here we propose a class of discrete time crystals enforced by nonsymmorphic dynamical symmetry. We start with a system with nonsymmorphic dynamical symmetry, in which the instantaneous eigenstates become Möbius twisted, hence doubling the period of the instantaneous state. The exact solution of the time-dependent Schrödinger equation shows that the system spontaneously exhibits a period expansion without undergoing quantum superposition states for a series of specific evolution frequencies or in the limit of a long evolution period. In this case, the system gains a π Berry phase after two periods’ evolution. While the instantaneous energy state is subharmonic to the system, the interaction will trigger off decoherence and thermalization that stabilize the oscillation pattern.

Research Area(s)

Citation Format(s)

Solvable model for discrete time crystal enforced by nonsymmorphic dynamical symmetry. / Hu, Zi-Ang; Fu, Bo; LI, Xiao et al.
In: Physical Review Research, Vol. 5, No. 3, 08.2023.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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