Islands in cosmology

Hartman, Thomas; Jiang, Yikun; Shaghoulian, Edgar

doi:10.1007/jhep11(2020)111

Title: Islands in cosmology

Abstract

A quantum extremal island suggests that a region of spacetime is encoded in the quantum state of another system, like the encoding of the black hole interior in Hawking radiation. We study conditions for islands to appear in general spacetimes, with or without black holes. They must violate Bekenstein’s area bound in a precise sense, and the boundary of an island must satisfy several other information-theoretic inequalities. These conditions combine to impose very strong restrictions, which we apply to cosmological models. We find several examples of islands in crunching universes. In particular, in the four-dimensional FRW cosmology with radiation and a negative cosmological constant, there is an island near the turning point when the geometry begins to recollapse. In a two-dimensional model of JT gravity in de Sitter spacetime, there are islands inside crunches that are encoded at future infinity or inside bubbles of Minkowski spacetime. Finally, we discuss simple tensor network toy models for islands in cosmology and black holes.

Authors:

Hartman, Thomas ^[1];

^[1];

^[1]

Cornell Univ., Ithaca, NY (United States)

Publication Date:: Fri Nov 20 00:00:00 EST 2020

Research Org.:: Cornell Univ., Ithaca, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC); Simons Foundation

OSTI Identifier:: 1853625

Grant/Contract Number:: SC0020397

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: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; AdS-CFT; correspondence; black holes

Citation Formats


                    Hartman, Thomas, Jiang, Yikun, and Shaghoulian, Edgar. Islands in cosmology.  United States: N. p., 2020. 
Web.  doi:10.1007/jhep11(2020)111.

Copy to clipboard


                    Hartman, Thomas, Jiang, Yikun, & Shaghoulian, Edgar. Islands in cosmology.  United States.  https://doi.org/10.1007/jhep11(2020)111

Copy to clipboard


                    Hartman, Thomas, Jiang, Yikun, and Shaghoulian, Edgar. Fri .  
"Islands in cosmology".  United States.  https://doi.org/10.1007/jhep11(2020)111.  https://www.osti.gov/servlets/purl/1853625.

Copy to clipboard


                    
@article{osti_1853625,

  title        = {Islands in cosmology},

  author       = {Hartman, Thomas and Jiang, Yikun and Shaghoulian, Edgar},

  abstractNote = {A quantum extremal island suggests that a region of spacetime is encoded in the quantum state of another system, like the encoding of the black hole interior in Hawking radiation. We study conditions for islands to appear in general spacetimes, with or without black holes. They must violate Bekenstein’s area bound in a precise sense, and the boundary of an island must satisfy several other information-theoretic inequalities. These conditions combine to impose very strong restrictions, which we apply to cosmological models. We find several examples of islands in crunching universes. In particular, in the four-dimensional FRW cosmology with radiation and a negative cosmological constant, there is an island near the turning point when the geometry begins to recollapse. In a two-dimensional model of JT gravity in de Sitter spacetime, there are islands inside crunches that are encoded at future infinity or inside bubbles of Minkowski spacetime. Finally, we discuss simple tensor network toy models for islands in cosmology and black holes.},

  doi          = {10.1007/jhep11(2020)111},

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

  number       = 11,

  volume       = 2020,

  place        = {United States},

  year         = {Fri Nov 20 00:00:00 EST 2020},

  month        = {Fri Nov 20 00:00:00 EST 2020}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1007/jhep11(2020)111

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Entanglement entropy, conformal invariance and extrinsic geometry
journal, July 2008

Solodukhin, Sergey N.
Physics Letters B, Vol. 665, Issue 4
DOI: 10.1016/j.physletb.2008.05.071

Entanglement wedge reconstruction and the information paradox
journal, September 2020

Penington, Geoffrey
Journal of High Energy Physics, Vol. 2020, Issue 9
DOI: 10.1007/JHEP09(2020)002

Low-dimensional de Sitter quantum gravity
journal, June 2020

Cotler, Jordan; Jensen, Kristan; Maloney, Alexander
Journal of High Energy Physics, Vol. 2020, Issue 6
DOI: 10.1007/JHEP06(2020)048

Relative entropy and the Bekenstein bound
journal, September 2008

Casini, H.
Classical and Quantum Gravity, Vol. 25, Issue 20
DOI: 10.1088/0264-9381/25/20/205021

Simple sufficient conditions for the generalized covariant entropy bound
journal, September 2003

Bousso, Raphael; Flanagan, Éanna É.; Marolf, Donald
Physical Review D, Vol. 68, Issue 6
DOI: 10.1103/PhysRevD.68.064001

Entanglement entropy in free quantum field theory
journal, December 2009

Casini, H.; Huerta, M.
Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 50
DOI: 10.1088/1751-8113/42/50/504007

Entanglement entropy in de Sitter space
journal, February 2013

Maldacena, Juan; Pimentel, Guilherme L.
Journal of High Energy Physics, Vol. 2013, Issue 2
DOI: 10.1007/JHEP02(2013)038

Entanglement entropy and conformal field theory
journal, December 2009

Calabrese, Pasquale; Cardy, John
Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 50
DOI: 10.1088/1751-8113/42/50/504005

Towards a Big Crunch Dual
journal, July 2004

Hertog, Thomas; Horowitz, Gary T.
Journal of High Energy Physics, Vol. 2004, Issue 07
DOI: 10.1088/1126-6708/2004/07/073

Islands in asymptotically flat 2D gravity
journal, July 2020

Hartman, Thomas; Shaghoulian, Edgar; Strominger, Andrew
Journal of High Energy Physics, Vol. 2020, Issue 7
DOI: 10.1007/JHEP07(2020)022

Membrane theory of entanglement dynamics from holography
journal, November 2018

Mezei, Márk
Physical Review D, Vol. 98, Issue 10
DOI: 10.1103/PhysRevD.98.106025

Comments on a covariant entropy conjecture
journal, October 1999

Lowe, David A.
Journal of High Energy Physics, Vol. 1999, Issue 10
DOI: 10.1088/1126-6708/1999/10/026

Simple holographic models of black hole evaporation
journal, August 2020

Akers, Chris; Engelhardt, Netta; Harlow, Daniel
Journal of High Energy Physics, Vol. 2020, Issue 8
DOI: 10.1007/JHEP08(2020)032

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
journal, December 2019

Almheiri, Ahmed; Engelhardt, Netta; Marolf, Donald
Journal of High Energy Physics, Vol. 2019, Issue 12
DOI: 10.1007/JHEP12(2019)063

Holographic framework for eternal inflation
journal, October 2006

Freivogel, Ben; Sekino, Yasuhiro; Susskind, Leonard
Physical Review D, Vol. 74, Issue 8
DOI: 10.1103/PhysRevD.74.086003

Pulling out the island with modular flow
journal, March 2020

Chen, Yiming
Journal of High Energy Physics, Vol. 2020, Issue 3
DOI: 10.1007/JHEP03(2020)033

Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy
journal, November 2014

Wall, Aron C.
Classical and Quantum Gravity, Vol. 31, Issue 22
DOI: 10.1088/0264-9381/31/22/225007

Information radiation in BCFT models of black holes
journal, May 2020

Rozali, Moshe; Sully, James; Van Raamsdonk, Mark
Journal of High Energy Physics, Vol. 2020, Issue 5
DOI: 10.1007/JHEP05(2020)004

A covariant holographic entanglement entropy proposal
journal, July 2007

Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi
Journal of High Energy Physics, Vol. 2007, Issue 07
DOI: 10.1088/1126-6708/2007/07/062

De Sitter horizons & holographic liquids
journal, July 2019

Anninos, Dionysios; Galante, Damián A.; Hofman, Diego M.
Journal of High Energy Physics, Vol. 2019, Issue 7
DOI: 10.1007/JHEP07(2019)038

Petz map and Python’s lunch
journal, November 2020

Zhao, Ying
Journal of High Energy Physics, Vol. 2020, Issue 11
DOI: 10.1007/JHEP11(2020)038

Entanglement islands in higher dimensions
journal, January 2020

Almheiri, Ahmed; Mahajan, Raghu; Santos, Jorge
SciPost Physics, Vol. 9, Issue 1
DOI: 10.21468/SciPostPhys.9.1.001

Quantum Bousso bound
journal, August 2004

Strominger, Andrew; Thompson, David
Physical Review D, Vol. 70, Issue 4
DOI: 10.1103/PhysRevD.70.044007

Proof of a quantum Bousso bound
journal, August 2014

Bousso, Raphael; Casini, Horacio; Fisher, Zachary
Physical Review D, Vol. 90, Issue 4
DOI: 10.1103/PhysRevD.90.044002

Entropy, extremality, euclidean variations, and the equations of motion
journal, January 2018

Dong, Xi; Lewkowycz, Aitor
Journal of High Energy Physics, Vol. 2018, Issue 1
DOI: 10.1007/JHEP01(2018)081

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

Hartman, Thomas; Maldacena, Juan
Journal of High Energy Physics, Vol. 2013, Issue 5
DOI: 10.1007/JHEP05(2013)014

Quantum maximin surfaces
journal, August 2020

Akers, Chris; Engelhardt, Netta; Penington, Geoff
Journal of High Energy Physics, Vol. 2020, Issue 8
DOI: 10.1007/JHEP08(2020)140

A quantum circuit interpretation of evaporating black hole geometry
journal, July 2020

Zhao, Ying
Journal of High Energy Physics, Vol. 2020, Issue 7
DOI: 10.1007/JHEP07(2020)139

The Page curve of Hawking radiation from semiclassical geometry
journal, March 2020

Almheiri, Ahmed; Mahajan, Raghu; Maldacena, Juan
Journal of High Energy Physics, Vol. 2020, Issue 3
DOI: 10.1007/JHEP03(2020)149

Black hole thermodynamics and information loss in two dimensions
journal, September 1994

Fiola, Thomas M.; Preskill, John; Strominger, Andrew
Physical Review D, Vol. 50, Issue 6
DOI: 10.1103/PhysRevD.50.3987

The gravity dual of a density matrix
journal, July 2012

Czech, Bartłomiej; Karczmarek, Joanna L.; Nogueira, Fernando
Classical and Quantum Gravity, Vol. 29, Issue 15
DOI: 10.1088/0264-9381/29/15/155009

Time Dependence of Correlation Functions Following a Quantum Quench
journal, April 2006

Calabrese, Pasquale; Cardy, John
Physical Review Letters, Vol. 96, Issue 13
DOI: 10.1103/PhysRevLett.96.136801

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

Almheiri, Ahmed; Hartman, Thomas; Maldacena, Juan
Journal of High Energy Physics, Vol. 2020, Issue 5
DOI: 10.1007/JHEP05(2020)013

Holographic description of AdS cosmologies
journal, April 2005

Hertog, Thomas; Horowitz, Gary T.
Journal of High Energy Physics, Vol. 2005, Issue 04
DOI: 10.1088/1126-6708/2005/04/005

Lower dimensional gravity
journal, January 1985

Jackiw, Roman
Nuclear Physics B, Vol. 252
DOI: 10.1016/0550-3213(85)90448-1

Exploring the membrane theory of entanglement dynamics
journal, February 2020

Mezei, Márk; Virrueta, Julio
Journal of High Energy Physics, Vol. 2020, Issue 2
DOI: 10.1007/JHEP02(2020)013

Delayed reheating and the breakdown of coherent oscillations
journal, April 2011

Easther, Richard; Flauger, Raphael; Gilmore, James B.
Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 04
DOI: 10.1088/1475-7516/2011/04/027

Holography in general space-times
journal, June 1999

Bousso, Raphael
Journal of High Energy Physics, Vol. 1999, Issue 06
DOI: 10.1088/1126-6708/1999/06/028

Comments on holographic entanglement entropy and RG flows
journal, April 2012

Myers, Robert C.; Singh, Ajay
Journal of High Energy Physics, Vol. 2012, Issue 4
DOI: 10.1007/JHEP04(2012)122

The Ryu–Takayanagi Formula from Quantum Error Correction
journal, May 2017

Harlow, Daniel
Communications in Mathematical Physics, Vol. 354, Issue 3
DOI: 10.1007/s00220-017-2904-z

Gravitation and hamiltonian structure in two spacetime dimensions
journal, June 1983

Teitelboim, Claudio
Physics Letters B, Vol. 126, Issue 1-2
DOI: 10.1016/0370-2693(83)90012-6

Universal upper bound on the entropy-to-energy ratio for bounded systems
journal, January 1981

Bekenstein, Jacob D.
Physical Review D, Vol. 23, Issue 2
DOI: 10.1103/PhysRevD.23.287

Infrared realization of dS 2 in AdS 2
journal, March 2018

Anninos, Dionysios; Hofman, Diego M.
Classical and Quantum Gravity, Vol. 35, Issue 8
DOI: 10.1088/1361-6382/aab143

Mutual information and the F-theorem
journal, October 2015

Casini, Horacio; Huerta, Marina; Myers, Robert C.
Journal of High Energy Physics, Vol. 2015, Issue 10
DOI: 10.1007/JHEP10(2015)003

Page curve for an evaporating black hole
journal, May 2020

Gautason, Friðrik Freyr; Schneiderbauer, Lukas; Sybesma, Watse
Journal of High Energy Physics, Vol. 2020, Issue 5
DOI: 10.1007/JHEP05(2020)091

A covariant entropy conjecture
journal, July 1999

Bousso, Raphael
Journal of High Energy Physics, Vol. 1999, Issue 07
DOI: 10.1088/1126-6708/1999/07/004

Evanescent black holes
journal, February 1992

Callan, Curtis G.; Giddings, Steven B.; Harvey, Jeffrey A.
Physical Review D, Vol. 45, Issue 4
DOI: 10.1103/PhysRevD.45.R1005

The holographic principle
journal, August 2002

Bousso, Raphael
Reviews of Modern Physics, Vol. 74, Issue 3
DOI: 10.1103/RevModPhys.74.825

Density matrices in quantum gravity
journal, January 2020

Anous, Tarek; Kruthoff, Jorrit; Mahajan, Raghu
SciPost Physics, Vol. 9, Issue 4
DOI: 10.21468/SciPostPhys.9.4.045

On entanglement spreading from holography
journal, May 2017

Mezei, Márk
Journal of High Energy Physics, Vol. 2017, Issue 5
DOI: 10.1007/JHEP05(2017)064

On extremal surfaces and de Sitter entropy
journal, April 2018

Narayan, K.
Physics Letters B, Vol. 779
DOI: 10.1016/j.physletb.2018.02.010

Notes on islands in asymptotically flat 2d dilaton black holes
journal, July 2020

Anegawa, Takanori; Iizuka, Norihiro
Journal of High Energy Physics, Vol. 2020, Issue 7
DOI: 10.1007/JHEP07(2020)036

Black hole microstate cosmology
journal, July 2019

Cooper, Sean; Rozali, Moshe; Swingle, Brian
Journal of High Energy Physics, Vol. 2019, Issue 7
DOI: 10.1007/JHEP07(2019)065

De Sitter space and entanglement
journal, December 2019

Arias, Cesar; Diaz, Felipe; Sundell, Per
Classical and Quantum Gravity, Vol. 37, Issue 1
DOI: 10.1088/1361-6382/ab5b78

Effective entropy of quantum fields coupled with gravity
journal, October 2020

Dong, Xi; Qi, Xiao-Liang; Shangnan, Zhou
Journal of High Energy Physics, Vol. 2020, Issue 10
DOI: 10.1007/JHEP10(2020)052

Spread of entanglement and causality
journal, July 2016

Casini, Horacio; Liu, Hong; Mezei, Márk
Journal of High Energy Physics, Vol. 2016, Issue 7
DOI: 10.1007/JHEP07(2016)077

Petz reconstruction in random tensor networks
journal, October 2020

Jia, Hewei Frederic; Rangamani, Mukund
Journal of High Energy Physics, Vol. 2020, Issue 10
DOI: 10.1007/jhep10(2020)050

Entanglement entropy, conformal invariance and extrinsic geometry
journal, July 2008

Solodukhin, Sergey N.
Physics Letters B, Vol. 665, Issue 4
DOI: 10.1016/j.physletb.2008.05.071

Entropy on a null surface for interacting quantum field theories and the Bousso bound
journal, April 2015

Bousso, Raphael; Casini, Horacio; Fisher, Zachary
Physical Review D, Vol. 91, Issue 8
DOI: 10.1103/physrevd.91.084030

Proof of a Quantum Bousso Bound
text, January 2014

Bousso, Raphael; Casini, Horacio; Fisher, Zachary
arXiv
DOI: 10.48550/arxiv.1404.5635

Geometric Constraints from Subregion Duality Beyond the Classical Regime
preprint, January 2016

Akers, Chris; Koeller, Jason; Leichenauer, Stefan
arXiv
DOI: 10.48550/arxiv.1610.08968

Learning the Alpha-bits of Black Holes
text, January 2018

Hayden, Patrick; Penington, Geoffrey
arXiv
DOI: 10.48550/arxiv.1807.06041

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
text, January 2019

Almheiri, Ahmed; Engelhardt, Netta; Marolf, Donald
arXiv
DOI: 10.48550/arxiv.1905.08762

Simple holographic models of black hole evaporation
text, January 2019

Akers, Chris; Engelhardt, Netta; Harlow, Daniel
arXiv
DOI: 10.48550/arxiv.1910.00972

Islands outside the horizon
preprint, January 2019

Almheiri, Ahmed; Mahajan, Raghu; Maldacena, Juan
arXiv
DOI: 10.48550/arxiv.1910.11077

Replica wormholes and the black hole interior
preprint, January 2019

Penington, Geoff; Shenker, Stephen H.; Stanford, Douglas
arXiv
DOI: 10.48550/arxiv.1911.11977

The Python's Lunch: geometric obstructions to decoding Hawking radiation
preprint, January 2019

Brown, Adam R.; Gharibyan, Hrant; Penington, Geoff
arXiv
DOI: 10.48550/arxiv.1912.00228

The entropy of Hawking radiation
text, January 2020

Almheiri, Ahmed; Hartman, Thomas; Maldacena, Juan
arXiv
DOI: 10.48550/arxiv.2006.06872

Approximate recovery and relative entropy I. general von Neumann subalgebras
preprint, January 2020

Faulkner, Thomas; Hollands, Stefan; Swingle, Brian
arXiv
DOI: 10.48550/arxiv.2006.08002

A Holographic Framework for Eternal Inflation
text, January 2006

Freivogel, Ben; Sekino, Yasuhiro; Susskind, Leonard
arXiv
DOI: 10.48550/arxiv.hep-th/0606204

Black hole thermodynamics and information loss in two dimensions
text, January 1994

Fiola, Thomas M.; Preskill, John; Strominger, Andrew
arXiv
DOI: 10.48550/arxiv.hep-th/9403137

Similar Records in DOE PAGES and OSTI.GOV collections:

Replica wormholes and the entropy of Hawking radiation

Journal Article Almheiri, Ahmed ; Hartman, Thomas ; Maldacena, Juan ; ... - Journal of High Energy Physics (Online)

The information paradox can be realized in anti-de Sitter spacetime joined to a Minkowski region. In this setting, we show that the large discrepancy between the von Neumann entropy as calculated by Hawking and the requirements of unitarity is fixed by including new saddles in the gravitational path integral. These saddles arise in the replica method as complexified wormholes connecting different copies of the black hole. As the replica number n → 1, the presence of these wormholes leads to the island rule for the computation of the fine-grained gravitational entropy. We discuss these replica wormholes explicitly in two-dimensional Jackiw-Teitelboimmore » gravity coupled to matter.« less
https://doi.org/10.1007/jhep05(2020)013

Full Text Available
Information paradox and its resolution in de Sitter holography

Journal Article Geng, Hao ; Nomura, Yasunori ; Sun, Hao-Yu - Physical Review D

We formulate a version of the information paradox in de Sitter spacetime and show that it is solved by the emergence of entanglement islands in the context of the De Sitter/de Sitter correspondence; in particular, the entanglement entropy of a subregion obeys a time-dependent Page curve. Our construction works in general spacetime dimensions and keeps the graviton massless. We interpret the resulting behavior of the entanglement entropy using double holography. It suggests that the spatial distribution of microscopic degrees of freedom depends on descriptions, as in the case of a black hole. In the static (distant) description of de Sittermore »« less
https://doi.org/10.1103/PhysRevD.103.126004
Quantum Brownian motion in a bath of parametric oscillators: A model for system-field interactions

Journal Article Hu, B L ; Matacz, A - Physical Review, D (Particles Fields); (United States)

The quantum Brownian motion paradigm provides a unified framework where one can see the interconnection of some basic quantum statistical processes such as decoherence, dissipation, particle creation, noise, and fluctuation. The present paper continues the investigation begun in earlier papers on the quantum Brownian motion in a general environment via the influence functional formalism. Here, the Brownian particle is coupled linearly to a bath of the most general time-dependent quadratic oscillators. This bath of parametric oscillators minics a scalar field, while the motion of the Brownian particle modeled by a single oscillator could be used to depict the behavior ofmore »« less
https://doi.org/10.1103/PhysRevD.49.6612
Islands in de Sitter space

Journal Article Balasubramanian, Vijay ; Kar, Arjun ; Ugajin, Tomonori - Journal of High Energy Physics (Online)

We consider black holes in 2d de Sitter JT gravity coupled to a CFT, and entangled with matter in a disjoint non-gravitating universe. Tracing out the entangling matter leaves the CFT in a density matrix whose stress tensor backreacts on the de Sitter geometry, lengthening the wormhole behind the black hole horizon. Naively, the entropy of the entangling matter increases without bound as the strength of the entanglement increases, but the monogamy property predicts that this growth must level off. We compute the entropy via the replica trick, including wormholes between the replica copies of the de Sitter geometry, andmore »« less
https://doi.org/10.1007/jhep02(2021)072

Full Text Available
Black holes with MDRs and Bekenstein–Hawking and Perelman entropies for Finsler–Lagrange–Hamilton Spaces

Journal Article Bubuianu, Laurenţiu ; University Apollonia, 2 Muzicii street, Iaşi, 700399 ; Vacaru, Sergiu I., E-mail: sergiuvacaru@mail.fresnostate.edu ; ... - Annals of Physics

New geometric and analytic methods for generating exact and parametric solutions in generalized Einstein–Finsler like gravity theories and nonholonomic Ricci soliton models are reviewed and developed. We show how generalizations of the Schwarzschild–(anti) de Sitter metric can be constructed for modified gravity theories with arbitrary modified dispersion relations, MDRs, and Lorentz invariance violations, LIVs. Such theories can be geometrized on cotangent Lorentz bundles (phase spaces) as models of relativistic Finsler–Lagrange–Hamilton spaces. There are considered two general classes of solutions for gravitational stationary vacuum phase space configurations and nontrivial (effective) matter sources or cosmological constants. Such solutions describe nonholonomic deformations ofmore »« less
https://doi.org/10.1016/J.AOP.2019.02.013

Similar Records

Title: Islands in cosmology

Abstract

Citation Formats

Entanglement entropy, conformal invariance and extrinsic geometry journal, July 2008

Entanglement wedge reconstruction and the information paradox journal, September 2020

Low-dimensional de Sitter quantum gravity journal, June 2020

Relative entropy and the Bekenstein bound journal, September 2008

Simple sufficient conditions for the generalized covariant entropy bound journal, September 2003

Entanglement entropy in free quantum field theory journal, December 2009

Entanglement entropy in de Sitter space journal, February 2013

Entanglement entropy and conformal field theory journal, December 2009

Towards a Big Crunch Dual journal, July 2004

Islands in asymptotically flat 2D gravity journal, July 2020

Membrane theory of entanglement dynamics from holography journal, November 2018

Comments on a covariant entropy conjecture journal, October 1999

Simple holographic models of black hole evaporation journal, August 2020

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole journal, December 2019

Holographic framework for eternal inflation journal, October 2006

Pulling out the island with modular flow journal, March 2020

Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy journal, November 2014

Information radiation in BCFT models of black holes journal, May 2020

A covariant holographic entanglement entropy proposal journal, July 2007

De Sitter horizons & holographic liquids journal, July 2019

Petz map and Python’s lunch journal, November 2020

Entanglement islands in higher dimensions journal, January 2020

Quantum Bousso bound journal, August 2004

Proof of a quantum Bousso bound journal, August 2014

Entropy, extremality, euclidean variations, and the equations of motion journal, January 2018

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

Quantum maximin surfaces journal, August 2020

A quantum circuit interpretation of evaporating black hole geometry journal, July 2020

The Page curve of Hawking radiation from semiclassical geometry journal, March 2020

Black hole thermodynamics and information loss in two dimensions journal, September 1994

The gravity dual of a density matrix journal, July 2012

Time Dependence of Correlation Functions Following a Quantum Quench journal, April 2006

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

Holographic description of AdS cosmologies journal, April 2005

Lower dimensional gravity journal, January 1985

Exploring the membrane theory of entanglement dynamics journal, February 2020

Delayed reheating and the breakdown of coherent oscillations journal, April 2011

Holography in general space-times journal, June 1999

Comments on holographic entanglement entropy and RG flows journal, April 2012

The Ryu–Takayanagi Formula from Quantum Error Correction journal, May 2017

Gravitation and hamiltonian structure in two spacetime dimensions journal, June 1983

Universal upper bound on the entropy-to-energy ratio for bounded systems journal, January 1981

Infrared realization of dS 2 in AdS 2 journal, March 2018

Mutual information and the F-theorem journal, October 2015

Page curve for an evaporating black hole journal, May 2020

A covariant entropy conjecture journal, July 1999

Evanescent black holes journal, February 1992

The holographic principle journal, August 2002

Density matrices in quantum gravity journal, January 2020

On entanglement spreading from holography journal, May 2017

On extremal surfaces and de Sitter entropy journal, April 2018

Notes on islands in asymptotically flat 2d dilaton black holes journal, July 2020

Black hole microstate cosmology journal, July 2019

De Sitter space and entanglement journal, December 2019

Effective entropy of quantum fields coupled with gravity journal, October 2020

Spread of entanglement and causality journal, July 2016

Petz reconstruction in random tensor networks journal, October 2020

Entanglement entropy, conformal invariance and extrinsic geometry journal, July 2008

Entropy on a null surface for interacting quantum field theories and the Bousso bound journal, April 2015

Proof of a Quantum Bousso Bound text, January 2014

Geometric Constraints from Subregion Duality Beyond the Classical Regime preprint, January 2016

Learning the Alpha-bits of Black Holes text, January 2018

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole text, January 2019

Simple holographic models of black hole evaporation text, January 2019

Islands outside the horizon preprint, January 2019

Replica wormholes and the black hole interior preprint, January 2019

The Python's Lunch: geometric obstructions to decoding Hawking radiation preprint, January 2019

The entropy of Hawking radiation text, January 2020

Approximate recovery and relative entropy I. general von Neumann subalgebras preprint, January 2020

A Holographic Framework for Eternal Inflation text, January 2006

Black hole thermodynamics and information loss in two dimensions text, January 1994

Entanglement entropy, conformal invariance and extrinsic geometry
journal, July 2008

Entanglement wedge reconstruction and the information paradox
journal, September 2020

Low-dimensional de Sitter quantum gravity
journal, June 2020

Relative entropy and the Bekenstein bound
journal, September 2008

Simple sufficient conditions for the generalized covariant entropy bound
journal, September 2003

Entanglement entropy in free quantum field theory
journal, December 2009

Entanglement entropy in de Sitter space
journal, February 2013

Entanglement entropy and conformal field theory
journal, December 2009

Towards a Big Crunch Dual
journal, July 2004

Islands in asymptotically flat 2D gravity
journal, July 2020

Membrane theory of entanglement dynamics from holography
journal, November 2018

Comments on a covariant entropy conjecture
journal, October 1999

Simple holographic models of black hole evaporation
journal, August 2020

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
journal, December 2019

Holographic framework for eternal inflation
journal, October 2006

Pulling out the island with modular flow
journal, March 2020

Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy
journal, November 2014

Information radiation in BCFT models of black holes
journal, May 2020

A covariant holographic entanglement entropy proposal
journal, July 2007

De Sitter horizons & holographic liquids
journal, July 2019

Petz map and Python’s lunch
journal, November 2020

Entanglement islands in higher dimensions
journal, January 2020

Quantum Bousso bound
journal, August 2004

Proof of a quantum Bousso bound
journal, August 2014

Entropy, extremality, euclidean variations, and the equations of motion
journal, January 2018

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

Quantum maximin surfaces
journal, August 2020

A quantum circuit interpretation of evaporating black hole geometry
journal, July 2020

The Page curve of Hawking radiation from semiclassical geometry
journal, March 2020

Black hole thermodynamics and information loss in two dimensions
journal, September 1994

The gravity dual of a density matrix
journal, July 2012

Time Dependence of Correlation Functions Following a Quantum Quench
journal, April 2006

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

Holographic description of AdS cosmologies
journal, April 2005

Lower dimensional gravity
journal, January 1985

Exploring the membrane theory of entanglement dynamics
journal, February 2020

Delayed reheating and the breakdown of coherent oscillations
journal, April 2011

Holography in general space-times
journal, June 1999

Comments on holographic entanglement entropy and RG flows
journal, April 2012

The Ryu–Takayanagi Formula from Quantum Error Correction
journal, May 2017

Gravitation and hamiltonian structure in two spacetime dimensions
journal, June 1983

Universal upper bound on the entropy-to-energy ratio for bounded systems
journal, January 1981

Infrared realization of dS 2 in AdS 2
journal, March 2018

Mutual information and the F-theorem
journal, October 2015

Page curve for an evaporating black hole
journal, May 2020

A covariant entropy conjecture
journal, July 1999

Evanescent black holes
journal, February 1992

The holographic principle
journal, August 2002

Density matrices in quantum gravity
journal, January 2020

On entanglement spreading from holography
journal, May 2017

On extremal surfaces and de Sitter entropy
journal, April 2018

Notes on islands in asymptotically flat 2d dilaton black holes
journal, July 2020

Black hole microstate cosmology
journal, July 2019

De Sitter space and entanglement
journal, December 2019

Effective entropy of quantum fields coupled with gravity
journal, October 2020

Spread of entanglement and causality
journal, July 2016

Petz reconstruction in random tensor networks
journal, October 2020

Entanglement entropy, conformal invariance and extrinsic geometry
journal, July 2008

Entropy on a null surface for interacting quantum field theories and the Bousso bound
journal, April 2015

Proof of a Quantum Bousso Bound
text, January 2014

Geometric Constraints from Subregion Duality Beyond the Classical Regime
preprint, January 2016

Learning the Alpha-bits of Black Holes
text, January 2018

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
text, January 2019

Simple holographic models of black hole evaporation
text, January 2019

Islands outside the horizon
preprint, January 2019

Replica wormholes and the black hole interior
preprint, January 2019

The Python's Lunch: geometric obstructions to decoding Hawking radiation
preprint, January 2019

The entropy of Hawking radiation
text, January 2020

Approximate recovery and relative entropy I. general von Neumann subalgebras
preprint, January 2020

A Holographic Framework for Eternal Inflation
text, January 2006

Black hole thermodynamics and information loss in two dimensions
text, January 1994