Lazarides_PhysRevE.100.060105.pdf (1.5 MB)

Classical stochastic discrete time crystals

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journal contribution
posted on 29.03.2021, 13:09 by FM Gambetta, F Carollo, Achilleas Lazarides, I Lesanovsky, JP Garrahan
© 2019 American Physical Society. We describe a general and simple paradigm for discrete time crystals (DTCs), systems with a stable subharmonic response to an external driving field, in a classical thermal setting. We consider, specifically, an Ising model in two dimensions, as a prototypical system with a phase transition into stable phases distinguished by a local order parameter, driven by thermal dynamics and periodically kicked with a noisy protocol. By means of extensive numerical simulations for large sizes - allowed by the classical nature of our model - we show that the system features a true disorder-DTC order phase transition as a function of the noise strength, with a robust DTC phase extending over a wide parameter range. We demonstrate that, when the dynamics is observed stroboscopically, the phase transition to the DTC state appears to be in the equilibrium two-dimensional Ising universality class. However, we explicitly show that the DTC is a genuine nonequilibrium state. More generally, we speculate that systems with thermal phase transitions to multiple competing phases can give rise to DTCs when appropriately driven.

Funding

European Research Council under the European Union’s Seventh Framework Programme (FP/2007-2013)/ERC Grant Agreement No. 335266 (ESCQUMA)

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History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review E

Volume

100

Issue

6

Publisher

American Physical Society

Version

VoR (Version of Record)

Rights holder

© American Physical Society

Publisher statement

This paper was accepted for publication in the journal Physical Review E and the definitive published version is available at https://doi.org/10.1103/PhysRevE.100.060105

Publication date

2019-12-24

Copyright date

2019

ISSN

2470-0045

eISSN

2470-0053

Language

en

Location

United States

Depositor

Dr Achilleas Lazarides (email: A.Lazarides@lboro.ac.uk | regno: 5033157). Deposit date: 23 March 2021

Article number

060105

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Loughborough Publications

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