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Time crystallinity in dissipative Floquet systems

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journal contribution
posted on 29.03.2021, 13:25 authored by Achilleas LazaridesAchilleas Lazarides, Sthitadhi Roy, Francesco Piazza, Roderich Moessner
We investigate the conditions under which periodically driven quantum systems subject to dissipation exhibit a stable subharmonic response. Noting that coupling to a bath introduces not only cooling but also noise, we point out that a system subject to the latter for the entire cycle tends to lose coherence of the subharmonic oscillations, and thereby the long-time temporal symmetry breaking. We provide an example of a shortranged two-dimensional system which does not suffer from this and therefore displays persistent subharmonic oscillations stabilized by the dissipation. We also show that this is fundamentally different from the disordered discrete time crystal previously found in closed systems, both conceptually and in its phenomenology. The framework we develop here clarifies how fully connected models constitute a special case where subharmonic oscillations are stable in the thermodynamic limit.

Funding

Quantum Matter in and out of Equilibrium

Engineering and Physical Sciences Research Council

Find out more...

Defense Advanced Research Projects Agency (DARPA) via the DRINQS program

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review Research

Volume

2

Issue

2

Publisher

American Physical Society (APS)

Version

VoR (Version of Record)

Publisher statement

This is an Open Access Article. It is published by American Physical Society under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/

Acceptance date

05/03/2020

Publication date

2020-04-03

Copyright date

2020

eISSN

2643-1564

Language

en

Depositor

Dr Achilleas Lazarides. Deposit date: 23 March 2021

Article number

022002

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