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The holographic map of an evaporating black hole
Journal of High Energy Physics, Volume: 2023, Issue: 7
Swansea University Authors:
Zsolt Gyongyosi, Timothy Hollowood , Prem Kumar
, Neil Talwar
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DOI (Published version): 10.1007/jhep07(2023)043
Abstract
We construct a holographic map that takes the semi-classical state of an evaporating black hole and its Hawking radiation to a microscopic model that reflects the scrambling dynamics of the black hole. The microscopic model is given by a nested sequence of random unitaries, each one implementing a s...
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ISSN: | 1029-8479 |
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Springer Science and Business Media LLC
2023
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v2 63952 2023-07-26 The holographic map of an evaporating black hole 69e9fb49abdbb768bc399eed7cafb47c Zsolt Gyongyosi Zsolt Gyongyosi true false ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 1573a54f803531a7648ae7fb667e5a80 Neil Talwar Neil Talwar true false 2023-07-26 SPH We construct a holographic map that takes the semi-classical state of an evaporating black hole and its Hawking radiation to a microscopic model that reflects the scrambling dynamics of the black hole. The microscopic model is given by a nested sequence of random unitaries, each one implementing a scrambling time step of the black hole evolution. Differently from other models, energy conservation and the thermal nature of the Hawking radiation are taken into account. We show that the QES formula follows for the entropy of multiple subsets of the radiation and black hole. We further show that a version of entanglement wedge reconstruction can be proved by computing suitable trace norms and quantum fidelities involving the action of a unitary on a subset of Hawking partners. If the Hawking partner is in an island, its unitary can be reconstructed by a unitary on the radiation. We also adopt a similar setup and analyse reconstruction of unitaries acting on an infalling system. Journal Article Journal of High Energy Physics 2023 7 Springer Science and Business Media LLC 1029-8479 AdS-CFT Correspondence, Black Holes, Models of Quantum Gravity, 2D Gravity 5 7 2023 2023-07-05 10.1007/jhep07(2023)043 http://dx.doi.org/10.1007/jhep07(2023)043 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University Other TJH, AL and SPK acknowledge support from STFC grant ST/T000813/1. NT and ZG acknowledge the support of an STFC Studentship. AL has also received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 804305) 2023-08-18T15:59:39.1101896 2023-07-26T16:17:40.4587048 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Zsolt Gyongyosi 1 Timothy Hollowood 0000-0002-3258-320X 2 Prem Kumar 0000-0003-0867-4213 3 Andrea Legramandi 4 Neil Talwar 5 63952__28325__3049eec28756447f8d8534a302d29bd0.pdf 63952.VOR.pdf 2023-08-18T15:58:08.6683782 Output 669121 application/pdf Version of Record true This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. true eng http://creativecommons.org/licenses/by/4.0/ |
title |
The holographic map of an evaporating black hole |
spellingShingle |
The holographic map of an evaporating black hole Zsolt Gyongyosi Timothy Hollowood Prem Kumar Neil Talwar |
title_short |
The holographic map of an evaporating black hole |
title_full |
The holographic map of an evaporating black hole |
title_fullStr |
The holographic map of an evaporating black hole |
title_full_unstemmed |
The holographic map of an evaporating black hole |
title_sort |
The holographic map of an evaporating black hole |
author_id_str_mv |
69e9fb49abdbb768bc399eed7cafb47c ea9ca59fc948276ff2ab547e91bdf0c2 087fd097167d724ce1b13cb285741ef5 1573a54f803531a7648ae7fb667e5a80 |
author_id_fullname_str_mv |
69e9fb49abdbb768bc399eed7cafb47c_***_Zsolt Gyongyosi ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar 1573a54f803531a7648ae7fb667e5a80_***_Neil Talwar |
author |
Zsolt Gyongyosi Timothy Hollowood Prem Kumar Neil Talwar |
author2 |
Zsolt Gyongyosi Timothy Hollowood Prem Kumar Andrea Legramandi Neil Talwar |
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Journal article |
container_title |
Journal of High Energy Physics |
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2023 |
container_issue |
7 |
publishDate |
2023 |
institution |
Swansea University |
issn |
1029-8479 |
doi_str_mv |
10.1007/jhep07(2023)043 |
publisher |
Springer Science and Business Media LLC |
college_str |
Faculty of Science and Engineering |
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Faculty of Science and Engineering |
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School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics |
url |
http://dx.doi.org/10.1007/jhep07(2023)043 |
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description |
We construct a holographic map that takes the semi-classical state of an evaporating black hole and its Hawking radiation to a microscopic model that reflects the scrambling dynamics of the black hole. The microscopic model is given by a nested sequence of random unitaries, each one implementing a scrambling time step of the black hole evolution. Differently from other models, energy conservation and the thermal nature of the Hawking radiation are taken into account. We show that the QES formula follows for the entropy of multiple subsets of the radiation and black hole. We further show that a version of entanglement wedge reconstruction can be proved by computing suitable trace norms and quantum fidelities involving the action of a unitary on a subset of Hawking partners. If the Hawking partner is in an island, its unitary can be reconstructed by a unitary on the radiation. We also adopt a similar setup and analyse reconstruction of unitaries acting on an infalling system. |
published_date |
2023-07-05T15:59:40Z |
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1774579383105748992 |
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11.021648 |