Stability of emergent time periodicity in a few-body interacting system
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916593126080512 |
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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 |