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:
- 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. https://doi.org/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. https://doi.org/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}
}
https://doi.org/10.1016/j.physletb.2019.134881
Web of Science
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