Mean-field dynamics of an infinite-range interacting quantum system: chaos, dynamical phase transition, and localisation
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909090570043392 |
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| author | Žunkovič, Bojan Zegarra, Antonio |
| author_facet | Žunkovič, Bojan Zegarra, Antonio |
| contents | We investigate the dynamical properties of the XY spin 1/2 chain with infinite-range transverse interactions and find a dynamical phase transition with a chaotic dynamical phase. In the latter, we find non-vanishing finite-time Lyapunov exponents and intermittent behavior signaled by fast and slow entropy growth periods. Further, we study the XY chain with a local self-consistent transverse field and observe a localization phase transition. We show that localization stabilizes the chaotic dynamical phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_11947 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mean-field dynamics of an infinite-range interacting quantum system: chaos, dynamical phase transition, and localisation Žunkovič, Bojan Zegarra, Antonio Statistical Mechanics Quantum Physics We investigate the dynamical properties of the XY spin 1/2 chain with infinite-range transverse interactions and find a dynamical phase transition with a chaotic dynamical phase. In the latter, we find non-vanishing finite-time Lyapunov exponents and intermittent behavior signaled by fast and slow entropy growth periods. Further, we study the XY chain with a local self-consistent transverse field and observe a localization phase transition. We show that localization stabilizes the chaotic dynamical phase. |
| title | Mean-field dynamics of an infinite-range interacting quantum system: chaos, dynamical phase transition, and localisation |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2310.11947 |