A Solvable Model for Discrete Time Crystal Enforced by Nonsymmorphic Dynamical Symmetry

• URL: http://arxiv.org/abs/2305.17322v1
• Date: Sat, 27 May 2023 01:51:29 GMT
• Title: A Solvable Model for Discrete Time Crystal Enforced by Nonsymmorphic Dynamical Symmetry
• Authors: Zi-Ang Hu, Bo Fu, Xiao Li, and Shun-Qing Shen
• Abstract summary: We propose a class of discrete time crystals enforced by nonsymmorphic dynamical symmetry. The exact solution of the time-dependent Schr"odinger equation shows that the system spontaneously exhibits a period extension. We show that the subharmonic response is stable even when many-body interactions are introduced, indicating a DTC phase in the thermodynamic limit.
• Score: 9.803965066368757
• License: http://creativecommons.org/licenses/by/4.0/
• 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 M\"obius twisted, hence doubling the period of the instantaneous state. The exact solution of the time-dependent Schr\"odinger equation shows that the system spontaneously exhibits a period extension without undergoing quantum superposition states for a series of specifc evolution frequencies or in the limit of long evolution period. Moreover, in such case the system gains a {\pi} Berry phase after two periods' evolution. Finally, we show that the subharmonic response is stable even when many-body interactions are introduced, indicating a DTC phase in the thermodynamic limit.

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