The Page curve of Hawking radiation from semiclassical geometry

Almheiri, Ahmed; Mahajan, Raghu; Maldacena, Juan; Zhao, Ying

doi:10.1007/jhep03(2020)149

Title: The Page curve of Hawking radiation from semiclassical geometry

Abstract

We consider a gravity theory coupled to matter, where the matter has a higher-dimensional holographic dual. In such a theory, finding quantum extremal surfaces becomes equivalent to finding the RT/HRT surfaces in the higher-dimensional theory. Using this we compute the entropy of Hawking radiation and argue that it follows the Page curve, as suggested by recent computations of the entropy and entanglement wedges for old black holes. The higher-dimensional geometry connects the radiation to the black hole interior in the spirit of ER=EPR. The black hole interior then becomes part of the entanglement wedge of the radiation. Inspired by this, we propose a new rule for computing the entropy of quantum systems entangled with gravitational systems which involves searching for “islands” in determining the entanglement wedge.

Authors:

Almheiri, Ahmed ^[1]; Mahajan, Raghu ^[2]; Maldacena, Juan ^[1]; Zhao, Ying ^[1]

Inst. for Advanced Study, Princeton, NJ (United States)
Inst. for Advanced Study, Princeton, NJ (United States); Princeton Univ., NJ (United States). Jadwin Hall

Publication Date:: Wed Mar 25 00:00:00 EDT 2020

Research Org.:: Institute for Advanced Study, Princeton, NJ (United States); Princeton Univ., NJ (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1801994

Grant/Contract Number:: SC0009988; SC0016244

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 3; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics

Citation Formats


                    Almheiri, Ahmed, Mahajan, Raghu, Maldacena, Juan, and Zhao, Ying. The Page curve of Hawking radiation from semiclassical geometry.  United States: N. p., 2020. 
Web.  doi:10.1007/jhep03(2020)149.

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                    Almheiri, Ahmed, Mahajan, Raghu, Maldacena, Juan, & Zhao, Ying. The Page curve of Hawking radiation from semiclassical geometry.  United States.  https://doi.org/10.1007/jhep03(2020)149

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                    Almheiri, Ahmed, Mahajan, Raghu, Maldacena, Juan, and Zhao, Ying. Wed .  
"The Page curve of Hawking radiation from semiclassical geometry".  United States.  https://doi.org/10.1007/jhep03(2020)149.  https://www.osti.gov/servlets/purl/1801994.

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@article{osti_1801994,

  title        = {The Page curve of Hawking radiation from semiclassical geometry},

  author       = {Almheiri, Ahmed and Mahajan, Raghu and Maldacena, Juan and Zhao, Ying},

  abstractNote = {We consider a gravity theory coupled to matter, where the matter has a higher-dimensional holographic dual. In such a theory, finding quantum extremal surfaces becomes equivalent to finding the RT/HRT surfaces in the higher-dimensional theory. Using this we compute the entropy of Hawking radiation and argue that it follows the Page curve, as suggested by recent computations of the entropy and entanglement wedges for old black holes. The higher-dimensional geometry connects the radiation to the black hole interior in the spirit of ER=EPR. The black hole interior then becomes part of the entanglement wedge of the radiation. Inspired by this, we propose a new rule for computing the entropy of quantum systems entangled with gravitational systems which involves searching for “islands” in determining the entanglement wedge.},

  doi          = {10.1007/jhep03(2020)149},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 3,

  volume       = 2020,

  place        = {United States},

  year         = {Wed Mar 25 00:00:00 EDT 2020},

  month        = {Wed Mar 25 00:00:00 EDT 2020}

}

Copy to clipboard

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Works referencing / citing this record:

Defect extremal surface as the holographic counterpart of Island formula
journal, March 2021

Deng, Feiyu; Chu, Jinwei; Zhou, Yang
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Islands and Page curves of Reissner-Nordström black holes
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Title: The Page curve of Hawking radiation from semiclassical geometry

Abstract

Citation Formats

Information in black hole radiation journal, December 1993

Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime journal, January 2015

Double local quenches in 2D CFTs and gravitational force journal, September 2019

Black holes as mirrors: quantum information in random subsystems journal, September 2007

Cool horizons for entangled black holes journal, August 2013

The Large-N Limit of Superconformal Field Theories and Supergravity journal, January 1999

Gauge theory correlators from non-critical string theory journal, May 1998

Hawking radiation in large N strongly coupled field theories journal, March 2010

Black hole collapse in the 1/c expansion journal, July 2016

Gravity and Large Black Holes in Randall-Sundrum II Braneworlds journal, August 2011

An infalling observer in AdS/CFT journal, October 2013

Locally localized gravity journal, May 2001

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence journal, May 2006

Diving into traversable wormholes: Diving into traversable wormholes journal, May 2017

Black hole evaporation in 1+1 dimensions journal, October 1992

Black droplets journal, August 2014

Holographic Dual of a Boundary Conformal Field Theory journal, August 2011

Anti de Sitter space and holography journal, January 1998

An Alternative to Compactification journal, December 1999

Learning the Alpha-bits of black holes journal, December 2019

Universal noninteger ‘‘ground-state degeneracy’’ in critical quantum systems journal, July 1991

The black hole final state journal, February 2004

Holographic quantum circuits from splitting/joining local quenches journal, March 2019

A covariant holographic entanglement entropy proposal journal, July 2007

The information paradox: a pedagogical introduction journal, October 2009

Mutual information after a local quench in conformal field theory journal, March 2014

Three-dimensional quantum geometry and black holes conference, January 1999

A Stress Tensor for Anti-de Sitter Gravity journal, December 1999

Particle creation by black holes journal, August 1975

Time dependence of Hawking radiation entropy journal, September 2013

Black funnels journal, December 2012

Time evolution of entanglement entropy from black hole interiors journal, May 2013

Entanglement and correlation functions following a local quench: a conformal field theory approach journal, October 2007

Entanglement renormalization and holography journal, September 2012

Defect extremal surface as the holographic counterpart of Island formula journal, March 2021

Islands and Page curves of Reissner-Nordström black holes journal, April 2021

Replica wormholes and the entropy of Hawking radiation journal, May 2020

Jackiw-Teitelboim quantum gravity with defects and the Aharonov-Bohm effect journal, May 2021

Islands in asymptotically flat 2D gravity journal, July 2020

A paradox regarding monogamy of entanglement preprint, January 2019

The entropy of Hawking radiation text, January 2020

Quantum BTZ black hole text, January 2020

The Hierarchy Problem: From the Fundamentals to the Frontiers preprint, January 2020

Global symmetry, Euclidean gravity, and the black hole information problem text, January 2020

Quantum tasks require islands on the brane text, January 2021

Quantum bit threads text, January 2021

The deepest problem: some perspectives on quantum gravity preprint, January 2022

Information in black hole radiation
journal, December 1993

Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime
journal, January 2015

Double local quenches in 2D CFTs and gravitational force
journal, September 2019

Black holes as mirrors: quantum information in random subsystems
journal, September 2007

Cool horizons for entangled black holes
journal, August 2013

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

Gauge theory correlators from non-critical string theory
journal, May 1998

Hawking radiation in large N strongly coupled field theories
journal, March 2010

Black hole collapse in the 1/c expansion
journal, July 2016

Gravity and Large Black Holes in Randall-Sundrum II Braneworlds
journal, August 2011

An infalling observer in AdS/CFT
journal, October 2013

Locally localized gravity
journal, May 2001

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
journal, May 2006

Diving into traversable wormholes: Diving into traversable wormholes
journal, May 2017

Black hole evaporation in 1+1 dimensions
journal, October 1992

Black droplets
journal, August 2014

Holographic Dual of a Boundary Conformal Field Theory
journal, August 2011

Anti de Sitter space and holography
journal, January 1998

An Alternative to Compactification
journal, December 1999

Learning the Alpha-bits of black holes
journal, December 2019

Universal noninteger ‘‘ground-state degeneracy’’ in critical quantum systems
journal, July 1991

The black hole final state
journal, February 2004

Holographic quantum circuits from splitting/joining local quenches
journal, March 2019

A covariant holographic entanglement entropy proposal
journal, July 2007

The information paradox: a pedagogical introduction
journal, October 2009

Mutual information after a local quench in conformal field theory
journal, March 2014

Three-dimensional quantum geometry and black holes
conference, January 1999

A Stress Tensor for Anti-de Sitter Gravity
journal, December 1999

Particle creation by black holes
journal, August 1975

Time dependence of Hawking radiation entropy
journal, September 2013

Black funnels
journal, December 2012

Time evolution of entanglement entropy from black hole interiors
journal, May 2013

Entanglement and correlation functions following a local quench: a conformal field theory approach
journal, October 2007

Entanglement renormalization and holography
journal, September 2012

Defect extremal surface as the holographic counterpart of Island formula
journal, March 2021

Islands and Page curves of Reissner-Nordström black holes
journal, April 2021

Replica wormholes and the entropy of Hawking radiation
journal, May 2020

Jackiw-Teitelboim quantum gravity with defects and the Aharonov-Bohm effect
journal, May 2021

Islands in asymptotically flat 2D gravity
journal, July 2020

A paradox regarding monogamy of entanglement
preprint, January 2019

The entropy of Hawking radiation
text, January 2020

Quantum BTZ black hole
text, January 2020

The Hierarchy Problem: From the Fundamentals to the Frontiers
preprint, January 2020

Global symmetry, Euclidean gravity, and the black hole information problem
text, January 2020

Quantum tasks require islands on the brane
text, January 2021

Quantum bit threads
text, January 2021

The deepest problem: some perspectives on quantum gravity
preprint, January 2022