Journal article 507 views 67 downloads
The holographic map of an evaporating black hole
,
Prem Kumar ,
Andrea Legramandi,
Neil Talwar
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...
| Published in: | Journal of High Energy Physics |
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| ISSN: | 1029-8479 |
| Published: |
Springer Science and Business Media LLC
2023
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa63952 |
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| 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 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. |
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| Keywords: |
AdS-CFT Correspondence, Black Holes, Models of Quantum Gravity, 2D Gravity |
| College: |
Faculty of Science and Engineering |
| Funders: |
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) |
| Issue: |
7 |