The Page curve from the entanglement membrane
Abstract We study entanglement dynamics in toy models of black hole information built out of chaotic many-body quantum systems, by utilising a coarse-grained description of entanglement dynamics in such systems known as the ‘entanglement membrane’. We show that in these models the Page curve associa...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)016 |
| _version_ | 1797199743556780032 |
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| author | Mike Blake Anthony P. Thompson |
| author_facet | Mike Blake Anthony P. Thompson |
| author_sort | Mike Blake |
| collection | DOAJ |
| description | Abstract We study entanglement dynamics in toy models of black hole information built out of chaotic many-body quantum systems, by utilising a coarse-grained description of entanglement dynamics in such systems known as the ‘entanglement membrane’. We show that in these models the Page curve associated to the entropy of Hawking radiation arises from a transition in the entanglement membrane around the Page time, in an analogous manner to the change in quantum extremal surfaces that leads to the Page curve in semi-classical gravity. We also use the entanglement membrane prescription to study the Hayden-Preskill protocol, and demonstrate how information initially encoded in the black hole is rapidly transferred to the radiation around the Page time. Our results relate recent developments in black hole information to generic features of entanglement dynamics in chaotic many-body quantum systems. |
| first_indexed | 2024-03-11T12:44:27Z |
| format | Article |
| id | doaj.art-28b3882e05c1498a83740f6342df324f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:20:36Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-28b3882e05c1498a83740f6342df324f2024-04-21T11:04:16ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231112810.1007/JHEP11(2023)016The Page curve from the entanglement membraneMike Blake0Anthony P. Thompson1School of Mathematics, University of BristolSchool of Mathematics, University of BristolAbstract We study entanglement dynamics in toy models of black hole information built out of chaotic many-body quantum systems, by utilising a coarse-grained description of entanglement dynamics in such systems known as the ‘entanglement membrane’. We show that in these models the Page curve associated to the entropy of Hawking radiation arises from a transition in the entanglement membrane around the Page time, in an analogous manner to the change in quantum extremal surfaces that leads to the Page curve in semi-classical gravity. We also use the entanglement membrane prescription to study the Hayden-Preskill protocol, and demonstrate how information initially encoded in the black hole is rapidly transferred to the radiation around the Page time. Our results relate recent developments in black hole information to generic features of entanglement dynamics in chaotic many-body quantum systems.https://doi.org/10.1007/JHEP11(2023)016Black HolesEffective Field TheoriesHolography and Condensed Matter Physics (AdS/CMT) |
| spellingShingle | Mike Blake Anthony P. Thompson The Page curve from the entanglement membrane Journal of High Energy Physics Black Holes Effective Field Theories Holography and Condensed Matter Physics (AdS/CMT) |
| title | The Page curve from the entanglement membrane |
| title_full | The Page curve from the entanglement membrane |
| title_fullStr | The Page curve from the entanglement membrane |
| title_full_unstemmed | The Page curve from the entanglement membrane |
| title_short | The Page curve from the entanglement membrane |
| title_sort | page curve from the entanglement membrane |
| topic | Black Holes Effective Field Theories Holography and Condensed Matter Physics (AdS/CMT) |
| url | https://doi.org/10.1007/JHEP11(2023)016 |
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