Pseudo entropy under joining local quenches
Abstract We compute the pseudo entropy in two-dimensional holographic and free Dirac fermion CFTs for excited states under joining local quenches. Our analysis reveals two of its characteristic properties that are missing in the conventional entanglement entropy. One is that, under time evolution, t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2024)111 |
| _version_ | 1827214416952688640 |
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| author | Kotaro Shinmyo Tadashi Takayanagi Kenya Tasuki |
| author_facet | Kotaro Shinmyo Tadashi Takayanagi Kenya Tasuki |
| author_sort | Kotaro Shinmyo |
| collection | DOAJ |
| description | Abstract We compute the pseudo entropy in two-dimensional holographic and free Dirac fermion CFTs for excited states under joining local quenches. Our analysis reveals two of its characteristic properties that are missing in the conventional entanglement entropy. One is that, under time evolution, the pseudo entropy exhibits a dip behavior as the excitations propagate from the joined point to the boundaries of the subsystem. The other is that the excess of pseudo entropy over entanglement entropy can be positive in holographic CFTs, whereas it is always non-positive in free Dirac fermion CFTs. We argue that the entropy excess can serve as a measure of multi-partite entanglement. Its positivity implies that the vacuum state in holographic CFTs possesses multi-partite entanglement, in contrast to free Dirac fermion CFTs. |
| first_indexed | 2024-03-07T15:23:27Z |
| format | Article |
| id | doaj.art-013994c553854b268cc99f9f84a0d808 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2025-03-21T14:30:59Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-013994c553854b268cc99f9f84a0d8082024-06-23T11:07:45ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-012024214710.1007/JHEP02(2024)111Pseudo entropy under joining local quenchesKotaro Shinmyo0Tadashi Takayanagi1Kenya Tasuki2Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto UniversityCenter for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto UniversityCenter for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto UniversityAbstract We compute the pseudo entropy in two-dimensional holographic and free Dirac fermion CFTs for excited states under joining local quenches. Our analysis reveals two of its characteristic properties that are missing in the conventional entanglement entropy. One is that, under time evolution, the pseudo entropy exhibits a dip behavior as the excitations propagate from the joined point to the boundaries of the subsystem. The other is that the excess of pseudo entropy over entanglement entropy can be positive in holographic CFTs, whereas it is always non-positive in free Dirac fermion CFTs. We argue that the entropy excess can serve as a measure of multi-partite entanglement. Its positivity implies that the vacuum state in holographic CFTs possesses multi-partite entanglement, in contrast to free Dirac fermion CFTs.https://doi.org/10.1007/JHEP02(2024)111AdS-CFT CorrespondenceConformal and W Symmetry |
| spellingShingle | Kotaro Shinmyo Tadashi Takayanagi Kenya Tasuki Pseudo entropy under joining local quenches Journal of High Energy Physics AdS-CFT Correspondence Conformal and W Symmetry |
| title | Pseudo entropy under joining local quenches |
| title_full | Pseudo entropy under joining local quenches |
| title_fullStr | Pseudo entropy under joining local quenches |
| title_full_unstemmed | Pseudo entropy under joining local quenches |
| title_short | Pseudo entropy under joining local quenches |
| title_sort | pseudo entropy under joining local quenches |
| topic | AdS-CFT Correspondence Conformal and W Symmetry |
| url | https://doi.org/10.1007/JHEP02(2024)111 |
| work_keys_str_mv | AT kotaroshinmyo pseudoentropyunderjoininglocalquenches AT tadashitakayanagi pseudoentropyunderjoininglocalquenches AT kenyatasuki pseudoentropyunderjoininglocalquenches |