F. M. Gambetta
Classical stochastic discrete time crystals
Gambetta, F. M.; Carollo, F.; Lazarides, A.; Lesanovsky, I.; Garrahan, J. P.
Authors
F. Carollo
A. Lazarides
IGOR LESANOVSKY IGOR.LESANOVSKY@NOTTINGHAM.AC.UK
Professor of Physics
JUAN GARRAHAN JUAN.GARRAHAN@NOTTINGHAM.AC.UK
Professor of Physics
Abstract
© 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.
Journal Article Type | Article |
---|---|
Acceptance Date | Dec 5, 2019 |
Online Publication Date | Dec 24, 2019 |
Publication Date | Dec 24, 2019 |
Deposit Date | Jan 15, 2020 |
Publicly Available Date | Jan 20, 2020 |
Journal | Physical Review E |
Print ISSN | 2470-0045 |
Electronic ISSN | 2470-0053 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Volume | 100 |
Issue | 6 |
Article Number | 060105(R) |
DOI | https://doi.org/10.1103/PhysRevE.100.060105 |
Public URL | https://nottingham-repository.worktribe.com/output/3731969 |
Publisher URL | https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.060105 |
Additional Information | Classical stochastic discrete time crystals, F. M. Gambetta, F. Carollo, A. Lazarides, I. Lesanovsky, and J. P. Garrahan, Phys. Rev. E 100, 060105(R). |
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Classical Stochastic Discrete Time Crystals
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