Classical stochastic discrete time crystals
journal contribution
posted on 2021-03-29, 13:09 authored by FM Gambetta, F Carollo, Achilleas LazaridesAchilleas 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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School
- Science
Department
- Mathematical Sciences
Published in
Physical Review EVolume
100Issue
6Publisher
American Physical SocietyVersion
- VoR (Version of Record)
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© American Physical SocietyPublisher 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.100.060105Publication date
2019-12-24Copyright date
2019ISSN
2470-0045eISSN
2470-0053Publisher version
Language
- en
Location
United StatesDepositor
Dr Achilleas Lazarides. Deposit date: 23 March 2021Article number
060105Usage metrics
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