Entanglement growth during thermalization in holographic systems
We derive in detail several universal features in the time evolution of entanglement entropy and other nonlocal observables in quenched holographic systems. The quenches are such that a spatially uniform density of energy is injected at an instant in time, exciting a strongly coupled conformal field...
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| Materiálatiipa: | Artihkal |
| Giella: | en_US |
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American Physical Society
2014
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| Liŋkkat: | http://hdl.handle.net/1721.1/88994 https://orcid.org/0000-0002-7319-7030 https://orcid.org/0000-0002-4911-3183 |
| _version_ | 1826191371531190272 |
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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 derive in detail several universal features in the time evolution of entanglement entropy and other nonlocal observables in quenched holographic systems. The quenches are such that a spatially uniform density of energy is injected at an instant in time, exciting a strongly coupled conformal field theory which eventually equilibrates. Such quench processes are described on the gravity side by the gravitational collapse of a thin shell that results in a black hole. Various nonlocal observables have a unified description in terms of the area of extremal surfaces of different dimensions. In the large distance limit, the evolution of an extremal surface, and thus the corresponding boundary observable, is controlled by the geometry around and inside the event horizon of the black hole, allowing us to identify regimes of pre-local-equilibration quadratic growth, post-local-equilibration linear growth, a memory loss regime, and a saturation regime with behavior resembling those in phase transitions. We also discuss possible bounds on the maximal rate of entanglement growth in relativistic systems. |
| first_indexed | 2024-09-23T08:54:53Z |
| format | Article |
| id | mit-1721.1/88994 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:54:53Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/889942022-09-30T12:07:09Z Entanglement growth during thermalization in holographic systems 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 derive in detail several universal features in the time evolution of entanglement entropy and other nonlocal observables in quenched holographic systems. The quenches are such that a spatially uniform density of energy is injected at an instant in time, exciting a strongly coupled conformal field theory which eventually equilibrates. Such quench processes are described on the gravity side by the gravitational collapse of a thin shell that results in a black hole. Various nonlocal observables have a unified description in terms of the area of extremal surfaces of different dimensions. In the large distance limit, the evolution of an extremal surface, and thus the corresponding boundary observable, is controlled by the geometry around and inside the event horizon of the black hole, allowing us to identify regimes of pre-local-equilibration quadratic growth, post-local-equilibration linear growth, a memory loss regime, and a saturation regime with behavior resembling those in phase transitions. We also discuss possible bounds on the maximal rate of entanglement growth in relativistic systems. United States. Dept. of Energy (Cooperative Research Agreement DE-FG0205ER41360) 2014-08-22T17:40:24Z 2014-08-22T17:40:24Z 2014-03 2013-12 Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/88994 Liu, Hong, and S. Josephine Suh. “Entanglement Growth During Thermalization in Holographic Systems.” Phys. Rev. D 89, no. 6 (March 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/PhysRevD.89.066012 Physical Review D 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 growth during thermalization in holographic systems |
| title | Entanglement growth during thermalization in holographic systems |
| title_full | Entanglement growth during thermalization in holographic systems |
| title_fullStr | Entanglement growth during thermalization in holographic systems |
| title_full_unstemmed | Entanglement growth during thermalization in holographic systems |
| title_short | Entanglement growth during thermalization in holographic systems |
| title_sort | entanglement growth during thermalization in holographic systems |
| url | http://hdl.handle.net/1721.1/88994 https://orcid.org/0000-0002-7319-7030 https://orcid.org/0000-0002-4911-3183 |
| work_keys_str_mv | AT liuhong entanglementgrowthduringthermalizationinholographicsystems AT suhsunokjosephine entanglementgrowthduringthermalizationinholographicsystems |