Deviations from maximal entanglement for eigenstates of the Sachdev-Ye-Kitaev model
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912022150512640 |
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| author | Huang, Yichen Tan, Yi Yao, Norman Y. |
| author_facet | Huang, Yichen Tan, Yi Yao, Norman Y. |
| contents | We consider mid-spectrum eigenstates of the Sachdev-Ye-Kiteav (SYK) model. We prove that for subsystems whose size is a constant fraction of the system size, the entanglement entropy deviates from the maximum entropy by at least a positive constant. This result highlights the difference between the entanglement entropy of mid-spectrum eigenstates of the SYK model and that of random states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07043 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deviations from maximal entanglement for eigenstates of the Sachdev-Ye-Kitaev model Huang, Yichen Tan, Yi Yao, Norman Y. High Energy Physics - Theory Disordered Systems and Neural Networks Statistical Mechanics Mathematical Physics Quantum Physics We consider mid-spectrum eigenstates of the Sachdev-Ye-Kiteav (SYK) model. We prove that for subsystems whose size is a constant fraction of the system size, the entanglement entropy deviates from the maximum entropy by at least a positive constant. This result highlights the difference between the entanglement entropy of mid-spectrum eigenstates of the SYK model and that of random states. |
| title | Deviations from maximal entanglement for eigenstates of the Sachdev-Ye-Kitaev model |
| topic | High Energy Physics - Theory Disordered Systems and Neural Networks Statistical Mechanics Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2409.07043 |