Discrete time-crystals in linear potentials

Author:

Yevgeny Bar Lev, Achilleas Lazarides

Keyword:

Condensed Matter, Disordered Systems and Neural Networks, Disordered Systems and Neural Networks (cond-mat.dis-nn), Statistical Mechanics (cond-mat.stat-mech), Strongly Correlated Electrons (cond-mat.str-el)

journal:

date:

2024-03-04 00:00:00

Abstract

Discrete time crystalline (DTC) phases have attracted significant theoretical and experimental attention in the last few years. Such systems require a seemingly impossible combination of non-adiabatic driving and a finite-entropy long-time state, which is, however, possible in non-ergodic systems. Previous works have often relied on disorder for the required non-ergodicity; here, we describe the construction of a discrete time crystal (DTC) phase in non-disordered, non-integrable Ising-type systems. After discussing the conditions for interacting and periodically driven systems to display such phases in general, we propose a concrete model and then provide approximate analytical arguments and direct numerical evidence that it satisfies the conditions and displays a DTC phase robust to local periodic perturbations.

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