Stability of emergent time periodicity in a few-body interacting system

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 th...

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Main Authors: Steve Campbell, Jens Eisert, Giacomo Guarnieri
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/adac86
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author Steve Campbell
Jens Eisert
Giacomo Guarnieri
author_facet Steve Campbell
Jens Eisert
Giacomo Guarnieri
author_sort Steve Campbell
collection DOAJ
description 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.
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spelling doaj-art-b07c68e06a4744618ec48b27272d448f2025-01-31T12:09:51ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127202300110.1088/1367-2630/adac86Stability of emergent time periodicity in a few-body interacting systemSteve Campbell0https://orcid.org/0000-0002-3427-9113Jens Eisert1https://orcid.org/0000-0003-3033-1292Giacomo Guarnieri2https://orcid.org/0000-0002-4270-3738School of Physics, University College Dublin , Belfield, Dublin 4, Ireland; Centre for Quantum Engineering, Science, and Technology, University College Dublin , Dublin 4, Ireland; Dahlem Center for Complex Quantum Systems, Freie Universität Berlin , 14195 Berlin, GermanyDahlem Center for Complex Quantum Systems, Freie Universität Berlin , 14195 Berlin, GermanyDahlem Center for Complex Quantum Systems, Freie Universität Berlin , 14195 Berlin, Germany; Department of Physics, University of Pavia , Via Bassi 6, 27100 Pavia, ItalyWe 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.https://doi.org/10.1088/1367-2630/adac86collision modeldissipative time crystalopen quantum systems
spellingShingle Steve Campbell
Jens Eisert
Giacomo Guarnieri
Stability of emergent time periodicity in a few-body interacting system
New Journal of Physics
collision model
dissipative time crystal
open quantum systems
title Stability of emergent time periodicity in a few-body interacting system
title_full Stability of emergent time periodicity in a few-body interacting system
title_fullStr Stability of emergent time periodicity in a few-body interacting system
title_full_unstemmed Stability of emergent time periodicity in a few-body interacting system
title_short Stability of emergent time periodicity in a few-body interacting system
title_sort stability of emergent time periodicity in a few body interacting system
topic collision model
dissipative time crystal
open quantum systems
url https://doi.org/10.1088/1367-2630/adac86
work_keys_str_mv AT stevecampbell stabilityofemergenttimeperiodicityinafewbodyinteractingsystem
AT jenseisert stabilityofemergenttimeperiodicityinafewbodyinteractingsystem
AT giacomoguarnieri stabilityofemergenttimeperiodicityinafewbodyinteractingsystem