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Bibliographic Details
Main Authors: Campbell, Steve, Eisert, Jens, Guarnieri, Giacomo
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2409.18516
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author Campbell, Steve
Eisert, Jens
Guarnieri, Giacomo
author_facet Campbell, Steve
Eisert, Jens
Guarnieri, Giacomo
contents We examine the onset and resilience of emergent time periodicity in a few-body all-to-all interacting Lipkin-Meshkov-Glick model, where one of the constituents is locally in contact with a thermal bath. Employing both a collision model framework and a suitable time-continuous description, we show that stable time-periodic behavior can only be exhibited when the bath acts as a purely dissipative channel. We assess the role that the microscopic interactions within the system play, establishing that for the all-to-all model the introduction of temperature leads to a melting of the emergent time periodicity, in contrast to stable long-time behavior which can be maintained for nearest neighbor $XXZ$ type interactions.
format Preprint
id arxiv_https___arxiv_org_abs_2409_18516
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Stability of emergent time periodicity in a few-body interacting system
Campbell, Steve
Eisert, Jens
Guarnieri, Giacomo
Quantum Physics
We examine the onset and resilience of emergent time periodicity in a few-body all-to-all interacting Lipkin-Meshkov-Glick model, where one of the constituents is locally in contact with a thermal bath. Employing both a collision model framework and a suitable time-continuous description, we show that stable time-periodic behavior can only be exhibited when the bath acts as a purely dissipative channel. We assess the role that the microscopic interactions within the system play, establishing that for the all-to-all model the introduction of temperature leads to a melting of the emergent time periodicity, in contrast to stable long-time behavior which can be maintained for nearest neighbor $XXZ$ type interactions.
title Stability of emergent time periodicity in a few-body interacting system
topic Quantum Physics
url https://arxiv.org/abs/2409.18516