Modifications of the Page Curve from correlations within Hawking radiation

Journal Article · 22 August 2019 · Physics Letters B

DOI: https://doi.org/10.1016/j.physletb.2019.134881 · OSTI ID:1558684

Alvi, Mishkat Al ^[1]; Majumdar, Mahbub ^[2]; Matin, Md. Abdul ^[3]; Rahat, Moinul Hossain ^[4]; Roy, Avik  ^[5]

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1. Univ. of Minnesota, Duluth, MN (United States)
2. BRAC Univ., Dhaka (Bangladesh)
3. Bangladesh Univ. of Engineering & Technology, Dhaka (Bangladesh)
4. Univ. of Florida, Gainesville, FL (United States)
5. Univ. of Texas, Austin, TX (United States)

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.

• Research Organization: Univ. of Florida, Gainesville, FL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0010296; SC0007890
• OSTI ID: 1558684
• Alternate ID(s): OSTI ID: 1765586
• Journal Information: Physics Letters B, Vol. 797; ISSN 0370-2693
• Publisher: ElsevierCopyright Statement
• Country of Publication: United States
• Language: English