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arXiv 2409.18516quant-ph
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少体相互作用系统中涌现时间周期性的稳定性

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

Steve Campbell, Jens Eisert, Giacomo Guarnieri

AI总结:

研究少体全互作用 Lipkin-Meshkov-Glick 模型中涌现时间周期性的稳定性,发现纯耗散热浴通道是维持该周期行为的必要条件,且温度升高会破坏全互作用模型中的周期性,这与最近邻 XXZ 型相互作用不同。

摘要:

我们研究了少体全互作用 Lipkin-Meshkov-Glick 模型中涌现时间周期性的出现与韧性,其中一个组分与热浴发生局部接触。通过采用碰撞模型框架和合适的连续时间描述,我们证明了仅当热浴作为纯耗散通道时,才能展现出稳定的时间周期行为。我们评估了系统内微观相互作用所起的作用,确定对于全互作用模型,温度的引入会导致涌现时间周期性的消融,这与最近邻 $XXZ$ 型相互作用下可维持的稳定长时间行为形成对比。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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