Modular Berry Connection for Entangled Subregions in AdS/CFT
The Berry connection describes transformations induced by adiabatically varying Hamiltonians. We study how zero modes of the modular Hamiltonian are affected by varying the region that supplies the modular Hamiltonian. In the vacuum of a 2D conformal field theory, global conformal symmetry singles o...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2018
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| Online Access: | http://hdl.handle.net/1721.1/114812 |
| _version_ | 1811085629630447616 |
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| author | Czech, Bartłomiej Lamprou, Lampros McCandlish, Samuel Sully, James |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Czech, Bartłomiej Lamprou, Lampros McCandlish, Samuel Sully, James |
| author_sort | Czech, Bartłomiej |
| collection | MIT |
| description | The Berry connection describes transformations induced by adiabatically varying Hamiltonians. We study how zero modes of the modular Hamiltonian are affected by varying the region that supplies the modular Hamiltonian. In the vacuum of a 2D conformal field theory, global conformal symmetry singles out a unique modular Berry connection, which we compute directly and in the dual three-dimensional anti–de Sitter (AdS[subscript 3]) picture. In certain cases, Wilson loops of the modular Berry connection compute lengths of curves in AdS[subscript 3], reproducing the differential entropy formula. Modular Berry transformations can be measured by bulk observers moving with varying accelerations. |
| first_indexed | 2024-09-23T13:12:38Z |
| format | Article |
| id | mit-1721.1/114812 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:12:38Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1148122022-09-28T12:41:05Z Modular Berry Connection for Entangled Subregions in AdS/CFT Czech, Bartłomiej Lamprou, Lampros McCandlish, Samuel Sully, James Massachusetts Institute of Technology. Department of Physics Lamprou, Lampros The Berry connection describes transformations induced by adiabatically varying Hamiltonians. We study how zero modes of the modular Hamiltonian are affected by varying the region that supplies the modular Hamiltonian. In the vacuum of a 2D conformal field theory, global conformal symmetry singles out a unique modular Berry connection, which we compute directly and in the dual three-dimensional anti–de Sitter (AdS[subscript 3]) picture. In certain cases, Wilson loops of the modular Berry connection compute lengths of curves in AdS[subscript 3], reproducing the differential entropy formula. Modular Berry transformations can be measured by bulk observers moving with varying accelerations. National Science Foundation (U.S.) (Grant PHY-1125915) 2018-04-19T19:51:25Z 2018-04-19T19:51:25Z 2018-02 2017-12 2018-02-28T18:00:16Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/114812 Czech, Bartłomiej et al. "Modular Berry Connection for Entangled Subregions in AdS/CFT." Physical Review Letters 120, 9 (February 2018): 091601 en http://dx.doi.org/10.1103/PhysRevLett.120.091601 Physical Review Letters Creative Commons Attribution http://creativecommons.org/licenses/by/3.0 application/pdf American Physical Society American Physical Society |
| spellingShingle | Czech, Bartłomiej Lamprou, Lampros McCandlish, Samuel Sully, James Modular Berry Connection for Entangled Subregions in AdS/CFT |
| title | Modular Berry Connection for Entangled Subregions in AdS/CFT |
| title_full | Modular Berry Connection for Entangled Subregions in AdS/CFT |
| title_fullStr | Modular Berry Connection for Entangled Subregions in AdS/CFT |
| title_full_unstemmed | Modular Berry Connection for Entangled Subregions in AdS/CFT |
| title_short | Modular Berry Connection for Entangled Subregions in AdS/CFT |
| title_sort | modular berry connection for entangled subregions in ads cft |
| url | http://hdl.handle.net/1721.1/114812 |
| work_keys_str_mv | AT czechbartłomiej modularberryconnectionforentangledsubregionsinadscft AT lamproulampros modularberryconnectionforentangledsubregionsinadscft AT mccandlishsamuel modularberryconnectionforentangledsubregionsinadscft AT sullyjames modularberryconnectionforentangledsubregionsinadscft |