Replica wormholes and holographic entanglement negativity
Abstract Recent work has shown how to understand the Page curve of an evaporating black hole from replica wormholes. However, more detailed information about the structure of its quantum state is needed to fully understand the dynamics of black hole evaporation. Here we study entanglement negativity...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2022)094 |
| _version_ | 1797865759480741888 |
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| author | Xi Dong Sean McBride Wayne W. Weng |
| author_facet | Xi Dong Sean McBride Wayne W. Weng |
| author_sort | Xi Dong |
| collection | DOAJ |
| description | Abstract Recent work has shown how to understand the Page curve of an evaporating black hole from replica wormholes. However, more detailed information about the structure of its quantum state is needed to fully understand the dynamics of black hole evaporation. Here we study entanglement negativity, an important measure of quantum entanglement in mixed states, in a couple of toy models of evaporating black holes. We find four phases dominated by different types of geometries: the disconnected, cyclically connected, anti-cyclically connected, and pairwise connected geometries. The last of these geometries are new replica wormholes that break the replica symmetry spontaneously. We also analyze the transitions between these four phases by summing more generic replica geometries using a Schwinger-Dyson equation. In particular, we find enhanced corrections to various negativity measures near the transition between the cyclic and pairwise phase. |
| first_indexed | 2024-04-09T23:13:24Z |
| format | Article |
| id | doaj.art-b0214ca9fac14e64a65c759e1334a18e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:13:24Z |
| publishDate | 2022-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b0214ca9fac14e64a65c759e1334a18e2023-03-22T10:14:07ZengSpringerOpenJournal of High Energy Physics1029-84792022-06-012022614510.1007/JHEP06(2022)094Replica wormholes and holographic entanglement negativityXi Dong0Sean McBride1Wayne W. Weng2Department of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaAbstract Recent work has shown how to understand the Page curve of an evaporating black hole from replica wormholes. However, more detailed information about the structure of its quantum state is needed to fully understand the dynamics of black hole evaporation. Here we study entanglement negativity, an important measure of quantum entanglement in mixed states, in a couple of toy models of evaporating black holes. We find four phases dominated by different types of geometries: the disconnected, cyclically connected, anti-cyclically connected, and pairwise connected geometries. The last of these geometries are new replica wormholes that break the replica symmetry spontaneously. We also analyze the transitions between these four phases by summing more generic replica geometries using a Schwinger-Dyson equation. In particular, we find enhanced corrections to various negativity measures near the transition between the cyclic and pairwise phase.https://doi.org/10.1007/JHEP06(2022)0942D GravityAdS-CFT CorrespondenceBlack Holes |
| spellingShingle | Xi Dong Sean McBride Wayne W. Weng Replica wormholes and holographic entanglement negativity Journal of High Energy Physics 2D Gravity AdS-CFT Correspondence Black Holes |
| title | Replica wormholes and holographic entanglement negativity |
| title_full | Replica wormholes and holographic entanglement negativity |
| title_fullStr | Replica wormholes and holographic entanglement negativity |
| title_full_unstemmed | Replica wormholes and holographic entanglement negativity |
| title_short | Replica wormholes and holographic entanglement negativity |
| title_sort | replica wormholes and holographic entanglement negativity |
| topic | 2D Gravity AdS-CFT Correspondence Black Holes |
| url | https://doi.org/10.1007/JHEP06(2022)094 |
| work_keys_str_mv | AT xidong replicawormholesandholographicentanglementnegativity AT seanmcbride replicawormholesandholographicentanglementnegativity AT waynewweng replicawormholesandholographicentanglementnegativity |