The Page curve for reflected entropy
Abstract We study the reflected entropy SR in the West Coast Model, a toy model of black hole evaporation consisting of JT gravity coupled to end-of-the-world branes. We demonstrate the validity of the holographic duality relating it to the entanglement wedge cr...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2022
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| Online Access: | https://hdl.handle.net/1721.1/143485 |
| _version_ | 1826191888141516800 |
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| author | Akers, Chris Faulkner, Thomas Lin, Simon Rath, Pratik |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Akers, Chris Faulkner, Thomas Lin, Simon Rath, Pratik |
| author_sort | Akers, Chris |
| collection | MIT |
| description | Abstract
We study the reflected entropy SR in the West Coast Model, a toy model of black hole evaporation consisting of JT gravity coupled to end-of-the-world branes. We demonstrate the validity of the holographic duality relating it to the entanglement wedge cross section away from phase transitions. Further, we analyze the important non-perturbative effects that smooth out the discontinuity in the SR phase transition. By performing the gravitational path integral, we obtain the reflected entanglement spectrum analytically. The spectrum takes a simple form consisting of superselection sectors, which we interpret as a direct sum of geometries, a disconnected one and a connected one involving a closed universe. We find that area fluctuations of O (
G
N
$$ \sqrt{G_N} $$
) spread out the SR phase transition in the canonical ensemble, analogous to the entanglement entropy phase transition. We also consider a Renyi generalization of the reflected entropy and show that the location of the phase transition varies as a function of the Renyi parameter. |
| first_indexed | 2024-09-23T09:02:51Z |
| format | Article |
| id | mit-1721.1/143485 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:02:51Z |
| publishDate | 2022 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1434852023-01-30T16:38:58Z The Page curve for reflected entropy Akers, Chris Faulkner, Thomas Lin, Simon Rath, Pratik Massachusetts Institute of Technology. Center for Theoretical Physics Abstract We study the reflected entropy SR in the West Coast Model, a toy model of black hole evaporation consisting of JT gravity coupled to end-of-the-world branes. We demonstrate the validity of the holographic duality relating it to the entanglement wedge cross section away from phase transitions. Further, we analyze the important non-perturbative effects that smooth out the discontinuity in the SR phase transition. By performing the gravitational path integral, we obtain the reflected entanglement spectrum analytically. The spectrum takes a simple form consisting of superselection sectors, which we interpret as a direct sum of geometries, a disconnected one and a connected one involving a closed universe. We find that area fluctuations of O ( G N $$ \sqrt{G_N} $$ ) spread out the SR phase transition in the canonical ensemble, analogous to the entanglement entropy phase transition. We also consider a Renyi generalization of the reflected entropy and show that the location of the phase transition varies as a function of the Renyi parameter. 2022-06-21T13:01:03Z 2022-06-21T13:01:03Z 2022-06-15 2022-06-19T03:11:55Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/143485 Journal of High Energy Physics. 2022 Jun 15;2022(6):89 PUBLISHER_CC en https://doi.org/10.1007/JHEP06(2022)089 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Akers, Chris Faulkner, Thomas Lin, Simon Rath, Pratik The Page curve for reflected entropy |
| title | The Page curve for reflected entropy |
| title_full | The Page curve for reflected entropy |
| title_fullStr | The Page curve for reflected entropy |
| title_full_unstemmed | The Page curve for reflected entropy |
| title_short | The Page curve for reflected entropy |
| title_sort | page curve for reflected entropy |
| url | https://hdl.handle.net/1721.1/143485 |
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