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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| Format: | Article |
| Language: | en_US |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/85080 https://orcid.org/0000-0002-7319-7030 https://orcid.org/0000-0002-4911-3183 |
| _version_ | 1826202941151772672 |
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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 | 2024-09-23T12:26:49Z |
| format | Article |
| id | mit-1721.1/85080 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:26:49Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/850802022-10-01T09:12:11Z Entanglement Tsunami: Universal Scaling in Holographic Thermalization Liu, Hong Suh, Sunok Josephine Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Liu, Hong Suh, Sunok Josephine 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. United States. Dept. of Energy (Cooperative Research Agreement DE-FG0205ER41360) Simons Foundation 2014-02-24T18:30:09Z 2014-02-24T18:30:09Z 2014-01 2013-06 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/85080 Liu, Hong, and S. Josephine Suh. “Entanglement Tsunami: Universal Scaling in Holographic Thermalization.” Physical Review Letters 112, no. 1 (January 2014). © 2014 American Physical Society https://orcid.org/0000-0002-7319-7030 https://orcid.org/0000-0002-4911-3183 en_US http://dx.doi.org/10.1103/PhysRevLett.112.011601 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/1721.1/85080 https://orcid.org/0000-0002-7319-7030 https://orcid.org/0000-0002-4911-3183 |
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