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Title: Island finder and entropy bound

Abstract

Identifying an entanglement island requires exquisite control over the entropy of quantum fields, which is available only in toy models. Here we present a set of sufficient conditions that guarantee the existence of an island and place an upper bound on the entropy computed by the island rule. This is enough to derive the main features of the Page curve for an evaporating black hole in any spacetime dimension. Our argument makes use of Wall’s maximin formulation and the quantum focusing conjecture. As a corollary, we derive a novel entropy bound.

Authors:
; ORCiD logo
Publication Date:
Research Org.:
Univ. of California, Oakland, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); Berkeley Center for Theoretical Physics; National Science Foundation (NSF); Sponsoring Consortium for Open Access Publishing in Particle Physics (SCOAP3)
OSTI Identifier:
1781271
Alternate Identifier(s):
OSTI ID: 1853151
Grant/Contract Number:  
SC0019380; AC02-05CH11231; 1820912; 2014215
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 103 Journal Issue: 10; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Astronomy & Astrophysics; Physics; gravitation; quantum gravity; quantum aspects of black holes; quantum field theory

Citation Formats

Bousso, Raphael, and Shahbazi-Moghaddam, Arvin. Island finder and entropy bound. United States: N. p., 2021. Web. doi:10.1103/PhysRevD.103.106005.
Bousso, Raphael, & Shahbazi-Moghaddam, Arvin. Island finder and entropy bound. United States. https://doi.org/10.1103/PhysRevD.103.106005
Bousso, Raphael, and Shahbazi-Moghaddam, Arvin. Tue . "Island finder and entropy bound". United States. https://doi.org/10.1103/PhysRevD.103.106005.
@article{osti_1781271,
title = {Island finder and entropy bound},
author = {Bousso, Raphael and Shahbazi-Moghaddam, Arvin},
abstractNote = {Identifying an entanglement island requires exquisite control over the entropy of quantum fields, which is available only in toy models. Here we present a set of sufficient conditions that guarantee the existence of an island and place an upper bound on the entropy computed by the island rule. This is enough to derive the main features of the Page curve for an evaporating black hole in any spacetime dimension. Our argument makes use of Wall’s maximin formulation and the quantum focusing conjecture. As a corollary, we derive a novel entropy bound.},
doi = {10.1103/PhysRevD.103.106005},
journal = {Physical Review D},
number = 10,
volume = 103,
place = {United States},
year = {Tue May 04 00:00:00 EDT 2021},
month = {Tue May 04 00:00:00 EDT 2021}
}

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