Modifications of the Page Curve from correlations within Hawking radiation

Alvi, Mishkat Al; Majumdar, Mahbub; Matin, Md. Abdul; Rahat, Moinul Hossain; Roy, Avik

doi:10.1016/j.physletb.2019.134881

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:

Alvi, Mishkat Al; Majumdar, Mahbub; Matin, Md. Abdul; Rahat, Moinul Hossain;

Publication Date:: 2019-10-01

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.

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                    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

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                    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.

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@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}

}

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Works referenced in this record:

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

Abstract

Citation Formats

Black holes and the second law journal, August 1972

Black Holes and Entropy journal, April 1973

Extraction of Rotational Energy from a Black Hole journal, February 1971

Reversible and Irreversible Transformations in Black-Hole Physics journal, November 1970

Gravitational Radiation from Colliding Black Holes journal, May 1971

The four laws of black hole mechanics journal, June 1973

Particle creation by black holes journal, August 1975

Hawking Radiation As Tunneling journal, December 2000

The information paradox: a pedagogical introduction journal, October 2009

The information paradox and the infall problem journal, May 2011

Correlations in Hawking radiation and the infall problem journal, September 2011

Qubit models of black hole evaporation journal, January 2013

The black hole information problem: past, present, and future journal, July 2017

Time dependence of Hawking radiation entropy journal, September 2013

Breakdown of predictability in gravitational collapse journal, November 1976

Quantum emission from two-dimensional black holes journal, September 1992

Hawking radiation as tunneling through the quantum horizon journal, September 2005

Entropy is conserved in Hawking radiation as tunneling: A revisit of the black hole information loss paradox journal, February 2011

Proof of Page’s conjecture on the average entropy of a subsystem journal, February 1994

Average Entropy of a Quantum Subsystem journal, July 1996

Simple proof of Page’s conjecture on the average entropy of a subsystem journal, November 1995

One-Shot Decoupling and Page Curves from a Dynamical Model for Black Hole Evaporation journal, March 2016

Quantum information transfer and models for black hole mechanics journal, March 2013

Black holes and the second law
journal, August 1972

Black Holes and Entropy
journal, April 1973

Extraction of Rotational Energy from a Black Hole
journal, February 1971

Reversible and Irreversible Transformations in Black-Hole Physics
journal, November 1970

Gravitational Radiation from Colliding Black Holes
journal, May 1971

The four laws of black hole mechanics
journal, June 1973

Particle creation by black holes
journal, August 1975

Hawking Radiation As Tunneling
journal, December 2000

The information paradox: a pedagogical introduction
journal, October 2009

The information paradox and the infall problem
journal, May 2011

Correlations in Hawking radiation and the infall problem
journal, September 2011

Qubit models of black hole evaporation
journal, January 2013

The black hole information problem: past, present, and future
journal, July 2017

Time dependence of Hawking radiation entropy
journal, September 2013

Breakdown of predictability in gravitational collapse
journal, November 1976

Quantum emission from two-dimensional black holes
journal, September 1992

Hawking radiation as tunneling through the quantum horizon
journal, September 2005

Entropy is conserved in Hawking radiation as tunneling: A revisit of the black hole information loss paradox
journal, February 2011

Proof of Page’s conjecture on the average entropy of a subsystem
journal, February 1994

Average Entropy of a Quantum Subsystem
journal, July 1996

Simple proof of Page’s conjecture on the average entropy of a subsystem
journal, November 1995

One-Shot Decoupling and Page Curves from a Dynamical Model for Black Hole Evaporation
journal, March 2016

Quantum information transfer and models for black hole mechanics
journal, March 2013