Quantum entropy thermalization
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913866220306432 |
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| author | Huang, Yichen Harrow, Aram W. |
| author_facet | Huang, Yichen Harrow, Aram W. |
| contents | In an isolated quantum many-body system undergoing unitary evolution, the entropy of a subsystem (smaller than half the system size) thermalizes if at long times, it is to leading order equal to the thermodynamic entropy of the subsystem at the same energy. In this paper, we prove entropy thermalization for a nearly integrable Sachdev-Ye-Kitaev model initialized in a pure product state. The model is obtained by adding random all-to-all $4$-body interactions as a perturbation to a random free-fermion model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_10165 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum entropy thermalization Huang, Yichen Harrow, Aram W. Statistical Mechanics Disordered Systems and Neural Networks High Energy Physics - Theory Mathematical Physics Quantum Physics In an isolated quantum many-body system undergoing unitary evolution, the entropy of a subsystem (smaller than half the system size) thermalizes if at long times, it is to leading order equal to the thermodynamic entropy of the subsystem at the same energy. In this paper, we prove entropy thermalization for a nearly integrable Sachdev-Ye-Kitaev model initialized in a pure product state. The model is obtained by adding random all-to-all $4$-body interactions as a perturbation to a random free-fermion model. |
| title | Quantum entropy thermalization |
| topic | Statistical Mechanics Disordered Systems and Neural Networks High Energy Physics - Theory Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2302.10165 |