Entanglement Tsunami: Universal Scaling in Holographic Thermalization
We consider the time evolution of entanglement entropy after a global quench in a strongly coupled holographic system, whose subsequent equilibration is described in the gravity dual by the gravitational collapse of a thin shell of matter resulting in a black hole. In the limit of large regions of e...
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/85079 |
| _version_ | 1826202508043747328 |
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| author | Liu, Hong Suh, Sunok Josephine |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Liu, Hong Suh, Sunok Josephine |
| author_sort | Liu, Hong |
| collection | MIT |
| description | We consider the time evolution of entanglement entropy after a global quench in a strongly coupled holographic system, whose subsequent equilibration is described in the gravity dual by the gravitational collapse of a thin shell of matter resulting in a black hole. In the limit of large regions of entanglement, the evolution of entanglement entropy is controlled by the geometry around and inside the event horizon of the black hole, resulting in regimes of pre-local-equilibration quadratic growth (in time), post-local-equilibration linear growth, a late-time regime in which the evolution does not carry memory of the size and shape of the entangled region, and a saturation regime with critical behavior resembling those in continuous phase transitions. Collectively, these regimes suggest a picture of entanglement growth in which an “entanglement tsunami” carries entanglement inward from the boundary. We also make a conjecture on the maximal rate of entanglement growth in relativistic systems. |
| first_indexed | 2024-09-23T12:08:36Z |
| format | Article |
| id | mit-1721.1/85079 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:08:36Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/850792022-09-28T00:24:45Z Entanglement Tsunami: Universal Scaling in Holographic Thermalization Liu, Hong Suh, Sunok Josephine Massachusetts Institute of Technology. Center for Theoretical Physics We consider the time evolution of entanglement entropy after a global quench in a strongly coupled holographic system, whose subsequent equilibration is described in the gravity dual by the gravitational collapse of a thin shell of matter resulting in a black hole. In the limit of large regions of entanglement, the evolution of entanglement entropy is controlled by the geometry around and inside the event horizon of the black hole, resulting in regimes of pre-local-equilibration quadratic growth (in time), post-local-equilibration linear growth, a late-time regime in which the evolution does not carry memory of the size and shape of the entangled region, and a saturation regime with critical behavior resembling those in continuous phase transitions. Collectively, these regimes suggest a picture of entanglement growth in which an “entanglement tsunami” carries entanglement inward from the boundary. We also make a conjecture on the maximal rate of entanglement growth in relativistic systems. 2014-02-24T18:20:00Z 2014-02-24T18:20:00Z 2014-01 2013-06 Article http://purl.org/eprint/type/JournalArticle 1079-7114 0031-9007 http://hdl.handle.net/1721.1/85079 en_US Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society American Physical Society |
| spellingShingle | Liu, Hong Suh, Sunok Josephine Entanglement Tsunami: Universal Scaling in Holographic Thermalization |
| title | Entanglement Tsunami: Universal Scaling in Holographic Thermalization |
| title_full | Entanglement Tsunami: Universal Scaling in Holographic Thermalization |
| title_fullStr | Entanglement Tsunami: Universal Scaling in Holographic Thermalization |
| title_full_unstemmed | Entanglement Tsunami: Universal Scaling in Holographic Thermalization |
| title_short | Entanglement Tsunami: Universal Scaling in Holographic Thermalization |
| title_sort | entanglement tsunami universal scaling in holographic thermalization |
| url | http://hdl.handle.net/1721.1/85079 |
| work_keys_str_mv | AT liuhong entanglementtsunamiuniversalscalinginholographicthermalization AT suhsunokjosephine entanglementtsunamiuniversalscalinginholographicthermalization |