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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.05875 |
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| _version_ | 1866916958480367616 |
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| author | He, Song Lau, Pak Hang Chris Zhao, Long |
| author_facet | He, Song Lau, Pak Hang Chris Zhao, Long |
| contents | Quantum informatic quantities such as entanglement entropy are useful in detecting quantum phase transitions. Recently, a new entanglement measure called pseudo-entropy was proposed which is a generalization of the more well-known entanglement entropy. It has many nice properties and is useful in the study of post-selection measurements. In this paper, one of our goals is to explore the properties of pseudo-entropy and study its effectiveness as a quantum chaos diagnostic, i.e., as a tool to distinguish between chaotic and integrable systems. Using various variants of the SYK model, we study the signal of quantum chaos captured in the pseudo-entropy and relate it to the spectral form factor (SFF) and local operator entanglement (LOE). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05875 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Detecting quantum chaos via pseudo-entropy He, Song Lau, Pak Hang Chris Zhao, Long High Energy Physics - Theory Disordered Systems and Neural Networks Quantum informatic quantities such as entanglement entropy are useful in detecting quantum phase transitions. Recently, a new entanglement measure called pseudo-entropy was proposed which is a generalization of the more well-known entanglement entropy. It has many nice properties and is useful in the study of post-selection measurements. In this paper, one of our goals is to explore the properties of pseudo-entropy and study its effectiveness as a quantum chaos diagnostic, i.e., as a tool to distinguish between chaotic and integrable systems. Using various variants of the SYK model, we study the signal of quantum chaos captured in the pseudo-entropy and relate it to the spectral form factor (SFF) and local operator entanglement (LOE). |
| title | Detecting quantum chaos via pseudo-entropy |
| topic | High Energy Physics - Theory Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2403.05875 |