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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Bibliographic Details
Main Authors: Steve Campbell, Jens Eisert, Giacomo Guarnieri
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:New Journal of Physics
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Online Access:https://doi.org/10.1088/1367-2630/adac86
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Summary: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.
ISSN:1367-2630