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arXiv · 2409.18516

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

Steve Campbell·Jens Eisert·Giacomo Guarnieri
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Abstract

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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Steve Campbell, Jens Eisert, Giacomo Guarnieri. 2024-09-27. Stability of emergent time periodicity in a few-body interacting system. https://doi.org/10.1088/1367-2630/adac86

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