Detecting quantum chaos via pseudo-entropy
Abstract 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 use...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)056 |
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| author | Song He Pak Hang Chris Lau Long Zhao |
| author_facet | Song He Pak Hang Chris Lau Long Zhao |
| author_sort | Song He |
| collection | DOAJ |
| description | Abstract 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 | Article |
| id | doaj-art-985bec17dbc14a1ca29138e0d07c8c99 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-985bec17dbc14a1ca29138e0d07c8c992025-08-20T03:04:07ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025613010.1007/JHEP06(2025)056Detecting quantum chaos via pseudo-entropySong He0Pak Hang Chris Lau1Long Zhao2Center for Theoretical Physics and College of Physics, Jilin UniversitySchool of Sciences, Great Bay UniversityCenter for Theoretical Physics and College of Physics, Jilin UniversityAbstract 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).https://doi.org/10.1007/JHEP06(2025)056Random SystemsAdS-CFT Correspondence |
| spellingShingle | Song He Pak Hang Chris Lau Long Zhao Detecting quantum chaos via pseudo-entropy Journal of High Energy Physics Random Systems AdS-CFT Correspondence |
| title | Detecting quantum chaos via pseudo-entropy |
| title_full | Detecting quantum chaos via pseudo-entropy |
| title_fullStr | Detecting quantum chaos via pseudo-entropy |
| title_full_unstemmed | Detecting quantum chaos via pseudo-entropy |
| title_short | Detecting quantum chaos via pseudo-entropy |
| title_sort | detecting quantum chaos via pseudo entropy |
| topic | Random Systems AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP06(2025)056 |
| work_keys_str_mv | AT songhe detectingquantumchaosviapseudoentropy AT pakhangchrislau detectingquantumchaosviapseudoentropy AT longzhao detectingquantumchaosviapseudoentropy |