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Information radiation in BCFT models of black holes
Open accessAbstract
In this note, following [1–3], we introduce and study various holographic systems which can describe evaporating black holes. The systems we consider are boundary conformal field theories for which the number of local degrees of freedom on the boundary (cbdy) is large compared to the number of local degrees of freedom in the bulk CFT (cbulk). We consider states where the boundary degrees of freedom on their own would describe an equilibrium black hole, but the coupling to the bulk CFT degrees of freedom allows this black hole to evaporate. The Page time for the black hole is controlled by the ratio cbdy/cbulk. Using both holographic calculations and direct CFT calculations, we study the evolution of the entanglement entropy for the subset of the radiation system (i.e. the bulk CFT) at a distance d > a from the boundary. We find that the entanglement entropy for this subsystem increases until time a + tPage and then undergoes a phase transition after which the entanglement wedge of the radiation system includes the black hole interior. Remarkably, this occurs even if the radiation system is initially at the same temperature as the black hole so that the two are in thermal equilibrium. In this case, even though the black hole does not lose energy, it “radiates” information through interaction with the radiation system until the radiation system contains enough information to reconstruct the black hole interior.
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“The results from these models show that the semi-classical geometry can see features of unitarity (Page curve) in black hole evaporation.”
From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [138]
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“tion. But unitary evolution predicts that this entropy should begin decreasing at the \Page time" when the black hole’s { 1 { (macroscopic) entropy has been reduced to half of its original value [5,6] and the remaining black hole becomes maximally entangled with the radiation system. The specic increasing and the…”
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Cited by
Sorted by citations
Replica wormholes and the entropy of Hawking radiation
Almheiri, A., Hartman, T., Maldacena, J., Shaghoulian, E., & Tajdini, A. (2020) · Journal of High Energy Physics · doi:10.1007/jhep05(2020)013 · Cited by 910
“The same answer for the entropy was obtained holographically in [6, 15, 16].”
BackgroundReplica wormholes and the black hole interior
Penington, G., Shenker, S. H., Stanford, D., & Yang, Z. (2019) · arXiv · doi:10.48550/arxiv.1911.11977 · Cited by 809
Replica wormholes and the black hole interior
Penington, G., Shenker, S. H., Stanford, D., & Yang, Z. (2022) · Journal of High Energy Physics · doi:10.1007/jhep03(2022)205 · Cited by 807
“This can be understood as a Z2 quotient of an ordinary two-sided black hole, with a particle of mass μ behind the 9A similar model has recently been discussed independently in [19].”
MethodThe entropy of Hawking radiation
Almheiri, A., Hartman, T., Maldacena, J., Shaghoulian, E., & Tajdini, A. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.035002 · Cited by 706
“This region is labeled by Σ Rad in the formula, see figure 14.”
Geng, H., & Karch, A. (2020) · Journal of High Energy Physics · doi:10.1007/jhep09(2020)121 · Cited by 251
Metadata
- Authors
- Rozali, M., Sully, J., Van Raamsdonk, M., Waddell, C., & Wakeham, D.
- Affiliations
- University of British Columbia (CA)
- Corresponding author
- Sully, James
- Venue
- Journal of High Energy Physics
- Published
- 2020-05
- Volume
- 2020
- Issue
- 5
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2981742893
- Cited by
- 194
- References
- 65
- Citations by year
- 2026: 6 · 2025: 10 · 2024: 19 · 2023: 27 · 2022: 46 · 2021: 59 · 2020: 27
- FWCI
- 17.58
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Licence
- Locations
- Journal of High Energy Physics (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- arXiv (Cornell University)
- Funders
- Simons Foundation
- University of British Columbia
- Natural Sciences and Engineering Research Council of Canada
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
- Keywords
- black hole information paradox, black hole evaporation, holographic models, boundary conformal field theory, entanglement entropy, Page time, entanglement wedge, thermal equilibrium, phase transitions
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