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The holographic map of an evaporating black hole

Zsolt Gyongyosi, Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo, Andrea Legramandi, Neil Talwar

Journal of High Energy Physics, Volume: 2023, Issue: 7

Swansea University Authors: Zsolt Gyongyosi, Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo, 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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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa63952
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spelling 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
format Journal article
container_title Journal of High Energy Physics
container_volume 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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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str 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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