Entanglement phase transition in holographic pseudo entropy
Abstract In this paper, we present holographic descriptions of entanglement phase transition using AdS/BCFT. First, we analytically calculate the holographic pseudo entropy in the AdS/BCFT model with a brane localized scalar field and show the entanglement phase transition behavior where the time ev...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2024)060 |
| _version_ | 1797259579696873472 |
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| author | Hiroki Kanda Taishi Kawamoto Yu-ki Suzuki Tadashi Takayanagi Kenya Tasuki Zixia Wei |
| author_facet | Hiroki Kanda Taishi Kawamoto Yu-ki Suzuki Tadashi Takayanagi Kenya Tasuki Zixia Wei |
| author_sort | Hiroki Kanda |
| collection | DOAJ |
| description | Abstract In this paper, we present holographic descriptions of entanglement phase transition using AdS/BCFT. First, we analytically calculate the holographic pseudo entropy in the AdS/BCFT model with a brane localized scalar field and show the entanglement phase transition behavior where the time evolution of entropy changes from the linear growth to the trivial one via a critical logarithmic evolution. In this model, the imaginary valued scalar field localized on the brane controls the phase transition, which is analogous to the amount of projections in the measurement induced phase transition. Next, we study the AdS/BCFT model with a brane localized gauge field, where the phase transition looks different in that there is no logarithmically evolving critical point. Finally, we discuss a bulk analog of the above model by considering a double Wick rotation of the Janus solution. We compute the holographic pseudo entropy in this model and show that the entropy grows logarithmically. |
| first_indexed | 2024-04-24T23:11:41Z |
| format | Article |
| id | doaj.art-86684f7cec224f6e9e1c79d4dcf41fee |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T23:11:41Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-86684f7cec224f6e9e1c79d4dcf41fee2024-03-17T12:12:07ZengSpringerOpenJournal of High Energy Physics1029-84792024-03-012024316710.1007/JHEP03(2024)060Entanglement phase transition in holographic pseudo entropyHiroki Kanda0Taishi Kawamoto1Yu-ki Suzuki2Tadashi Takayanagi3Kenya Tasuki4Zixia Wei5Center 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 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 UniversityCenter for the Fundamental Laws of Nature, Harvard UniversityAbstract In this paper, we present holographic descriptions of entanglement phase transition using AdS/BCFT. First, we analytically calculate the holographic pseudo entropy in the AdS/BCFT model with a brane localized scalar field and show the entanglement phase transition behavior where the time evolution of entropy changes from the linear growth to the trivial one via a critical logarithmic evolution. In this model, the imaginary valued scalar field localized on the brane controls the phase transition, which is analogous to the amount of projections in the measurement induced phase transition. Next, we study the AdS/BCFT model with a brane localized gauge field, where the phase transition looks different in that there is no logarithmically evolving critical point. Finally, we discuss a bulk analog of the above model by considering a double Wick rotation of the Janus solution. We compute the holographic pseudo entropy in this model and show that the entropy grows logarithmically.https://doi.org/10.1007/JHEP03(2024)060AdS-CFT CorrespondenceBoundary Quantum Field Theory |
| spellingShingle | Hiroki Kanda Taishi Kawamoto Yu-ki Suzuki Tadashi Takayanagi Kenya Tasuki Zixia Wei Entanglement phase transition in holographic pseudo entropy Journal of High Energy Physics AdS-CFT Correspondence Boundary Quantum Field Theory |
| title | Entanglement phase transition in holographic pseudo entropy |
| title_full | Entanglement phase transition in holographic pseudo entropy |
| title_fullStr | Entanglement phase transition in holographic pseudo entropy |
| title_full_unstemmed | Entanglement phase transition in holographic pseudo entropy |
| title_short | Entanglement phase transition in holographic pseudo entropy |
| title_sort | entanglement phase transition in holographic pseudo entropy |
| topic | AdS-CFT Correspondence Boundary Quantum Field Theory |
| url | https://doi.org/10.1007/JHEP03(2024)060 |
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