The Page curve of Hawking radiation from semiclassical geometry
Abstract
We consider a gravity theory coupled to matter, where the matter has a higher-dimensional holographic dual. In such a theory, finding quantum extremal surfaces becomes equivalent to finding the RT/HRT surfaces in the higher-dimensional theory. Using this we compute the entropy of Hawking radiation and argue that it follows the Page curve, as suggested by recent computations of the entropy and entanglement wedges for old black holes. The higher-dimensional geometry connects the radiation to the black hole interior in the spirit of ER=EPR. The black hole interior then becomes part of the entanglement wedge of the radiation. Inspired by this, we propose a new rule for computing the entropy of quantum systems entangled with gravitational systems which involves searching for “islands” in determining the entanglement wedge.
- Authors:
-
- Inst. for Advanced Study, Princeton, NJ (United States)
- Inst. for Advanced Study, Princeton, NJ (United States); Princeton Univ., NJ (United States). Jadwin Hall
- Publication Date:
- Research Org.:
- Institute for Advanced Study, Princeton, NJ (United States); Princeton Univ., NJ (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1801994
- Grant/Contract Number:
- SC0009988; SC0016244
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 3; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics
Citation Formats
Almheiri, Ahmed, Mahajan, Raghu, Maldacena, Juan, and Zhao, Ying. The Page curve of Hawking radiation from semiclassical geometry. United States: N. p., 2020.
Web. doi:10.1007/jhep03(2020)149.
Almheiri, Ahmed, Mahajan, Raghu, Maldacena, Juan, & Zhao, Ying. The Page curve of Hawking radiation from semiclassical geometry. United States. https://doi.org/10.1007/jhep03(2020)149
Almheiri, Ahmed, Mahajan, Raghu, Maldacena, Juan, and Zhao, Ying. Wed .
"The Page curve of Hawking radiation from semiclassical geometry". United States. https://doi.org/10.1007/jhep03(2020)149. https://www.osti.gov/servlets/purl/1801994.
@article{osti_1801994,
title = {The Page curve of Hawking radiation from semiclassical geometry},
author = {Almheiri, Ahmed and Mahajan, Raghu and Maldacena, Juan and Zhao, Ying},
abstractNote = {We consider a gravity theory coupled to matter, where the matter has a higher-dimensional holographic dual. In such a theory, finding quantum extremal surfaces becomes equivalent to finding the RT/HRT surfaces in the higher-dimensional theory. Using this we compute the entropy of Hawking radiation and argue that it follows the Page curve, as suggested by recent computations of the entropy and entanglement wedges for old black holes. The higher-dimensional geometry connects the radiation to the black hole interior in the spirit of ER=EPR. The black hole interior then becomes part of the entanglement wedge of the radiation. Inspired by this, we propose a new rule for computing the entropy of quantum systems entangled with gravitational systems which involves searching for “islands” in determining the entanglement wedge.},
doi = {10.1007/jhep03(2020)149},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2020,
place = {United States},
year = {Wed Mar 25 00:00:00 EDT 2020},
month = {Wed Mar 25 00:00:00 EDT 2020}
}
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