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Title: Modifications of the Page Curve from correlations within Hawking radiation

Abstract

We investigate quantum correlations between successive steps of black hole evaporation and investigate whether they might resolve the black hole information paradox. ‘Small’ corrections in various models were shown to be unable to restore unitarity. We study a toy qubit model of evaporation that allows small quantum correlations between successive steps and reaffirm previous results. Then, we relax the ‘smallness’ condition and find a nontrivial upper and lower bound on the entanglement entropy change during the evaporation process. This gives a quantitative measure of the size of the correction needed to restore unitarity. We find that these entanglement entropy bounds lead to a significant deviation from the expected Page curve.

Authors:
; ; ; ; ORCiD logo
Publication Date:
Research Org.:
Univ. of Florida, Gainesville, FL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1558684
Alternate Identifier(s):
OSTI ID: 1765586
Grant/Contract Number:  
SC0010296; SC0007890
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 797 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Black hole information paradox; Toy model black hole; Qubit model black hole; Quantum correlations; Small correction

Citation Formats

Alvi, Mishkat Al, Majumdar, Mahbub, Matin, Md. Abdul, Rahat, Moinul Hossain, and Roy, Avik. Modifications of the Page Curve from correlations within Hawking radiation. Netherlands: N. p., 2019. Web. doi:10.1016/j.physletb.2019.134881.
Alvi, Mishkat Al, Majumdar, Mahbub, Matin, Md. Abdul, Rahat, Moinul Hossain, & Roy, Avik. Modifications of the Page Curve from correlations within Hawking radiation. Netherlands. doi:10.1016/j.physletb.2019.134881.
Alvi, Mishkat Al, Majumdar, Mahbub, Matin, Md. Abdul, Rahat, Moinul Hossain, and Roy, Avik. Tue . "Modifications of the Page Curve from correlations within Hawking radiation". Netherlands. doi:10.1016/j.physletb.2019.134881.
@article{osti_1558684,
title = {Modifications of the Page Curve from correlations within Hawking radiation},
author = {Alvi, Mishkat Al and Majumdar, Mahbub and Matin, Md. Abdul and Rahat, Moinul Hossain and Roy, Avik},
abstractNote = {We investigate quantum correlations between successive steps of black hole evaporation and investigate whether they might resolve the black hole information paradox. ‘Small’ corrections in various models were shown to be unable to restore unitarity. We study a toy qubit model of evaporation that allows small quantum correlations between successive steps and reaffirm previous results. Then, we relax the ‘smallness’ condition and find a nontrivial upper and lower bound on the entanglement entropy change during the evaporation process. This gives a quantitative measure of the size of the correction needed to restore unitarity. We find that these entanglement entropy bounds lead to a significant deviation from the expected Page curve.},
doi = {10.1016/j.physletb.2019.134881},
journal = {Physics Letters B},
number = C,
volume = 797,
place = {Netherlands},
year = {2019},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1016/j.physletb.2019.134881

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Cited by: 1 work
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