Islands in cosmology

Hartman, Thomas; Jiang, Yikun; Shaghoulian, Edgar

doi:10.1007/jhep11(2020)111

Title: Islands in cosmology

Journal Article · Fri Nov 20 00:00:00 EST 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep11(2020)111· OSTI ID:1853625

Hartman, Thomas ^[1];

^[1];

^[1]

Cornell Univ., Ithaca, NY (United States)

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.

View Accepted Manuscript (DOE)

Cite

Export

Save

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

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

Grant/Contract Number:: SC0020397

OSTI ID:: 1853625

Journal Information:: Journal of High Energy Physics (Online), Vol. 2020, Issue 11; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (70)

Entanglement entropy, conformal invariance and extrinsic geometry Solodukhin, Sergey N. Physics Letters B, Vol. 665, Issue 4 https://doi.org/10.1016/j.physletb.2008.05.071	journal	July 2008
Entanglement wedge reconstruction and the information paradox Penington, Geoffrey Journal of High Energy Physics, Vol. 2020, Issue 9 https://doi.org/10.1007/JHEP09(2020)002	journal	September 2020
Low-dimensional de Sitter quantum gravity Cotler, Jordan; Jensen, Kristan; Maloney, Alexander Journal of High Energy Physics, Vol. 2020, Issue 6 https://doi.org/10.1007/JHEP06(2020)048	journal	June 2020
Relative entropy and the Bekenstein bound Casini, H. Classical and Quantum Gravity, Vol. 25, Issue 20 https://doi.org/10.1088/0264-9381/25/20/205021	journal	September 2008
Simple sufficient conditions for the generalized covariant entropy bound Bousso, Raphael; Flanagan, Éanna É.; Marolf, Donald Physical Review D, Vol. 68, Issue 6 https://doi.org/10.1103/PhysRevD.68.064001	journal	September 2003
Entanglement entropy in free quantum field theory Casini, H.; Huerta, M. Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 50 https://doi.org/10.1088/1751-8113/42/50/504007	journal	December 2009
Entanglement entropy in de Sitter space Maldacena, Juan; Pimentel, Guilherme L. Journal of High Energy Physics, Vol. 2013, Issue 2 https://doi.org/10.1007/JHEP02(2013)038	journal	February 2013
Entanglement entropy and conformal field theory Calabrese, Pasquale; Cardy, John Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 50 https://doi.org/10.1088/1751-8113/42/50/504005	journal	December 2009
Towards a Big Crunch Dual Hertog, Thomas; Horowitz, Gary T. Journal of High Energy Physics, Vol. 2004, Issue 07 https://doi.org/10.1088/1126-6708/2004/07/073	journal	July 2004
Islands in asymptotically flat 2D gravity Hartman, Thomas; Shaghoulian, Edgar; Strominger, Andrew Journal of High Energy Physics, Vol. 2020, Issue 7 https://doi.org/10.1007/JHEP07(2020)022	journal	July 2020
Membrane theory of entanglement dynamics from holography Mezei, Márk Physical Review D, Vol. 98, Issue 10 https://doi.org/10.1103/PhysRevD.98.106025	journal	November 2018
Comments on a covariant entropy conjecture Lowe, David A. Journal of High Energy Physics, Vol. 1999, Issue 10 https://doi.org/10.1088/1126-6708/1999/10/026	journal	October 1999
Simple holographic models of black hole evaporation Akers, Chris; Engelhardt, Netta; Harlow, Daniel Journal of High Energy Physics, Vol. 2020, Issue 8 https://doi.org/10.1007/JHEP08(2020)032	journal	August 2020
The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole Almheiri, Ahmed; Engelhardt, Netta; Marolf, Donald Journal of High Energy Physics, Vol. 2019, Issue 12 https://doi.org/10.1007/JHEP12(2019)063	journal	December 2019
Holographic framework for eternal inflation Freivogel, Ben; Sekino, Yasuhiro; Susskind, Leonard Physical Review D, Vol. 74, Issue 8 https://doi.org/10.1103/PhysRevD.74.086003	journal	October 2006
Pulling out the island with modular flow Chen, Yiming Journal of High Energy Physics, Vol. 2020, Issue 3 https://doi.org/10.1007/JHEP03(2020)033	journal	March 2020
Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy Wall, Aron C. Classical and Quantum Gravity, Vol. 31, Issue 22 https://doi.org/10.1088/0264-9381/31/22/225007	journal	November 2014
Information radiation in BCFT models of black holes Rozali, Moshe; Sully, James; Van Raamsdonk, Mark Journal of High Energy Physics, Vol. 2020, Issue 5 https://doi.org/10.1007/JHEP05(2020)004	journal	May 2020
A covariant holographic entanglement entropy proposal Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi Journal of High Energy Physics, Vol. 2007, Issue 07 https://doi.org/10.1088/1126-6708/2007/07/062	journal	July 2007
De Sitter horizons & holographic liquids Anninos, Dionysios; Galante, Damián A.; Hofman, Diego M. Journal of High Energy Physics, Vol. 2019, Issue 7 https://doi.org/10.1007/JHEP07(2019)038	journal	July 2019
Petz map and Python’s lunch Zhao, Ying Journal of High Energy Physics, Vol. 2020, Issue 11 https://doi.org/10.1007/JHEP11(2020)038	journal	November 2020
Entanglement islands in higher dimensions Almheiri, Ahmed; Mahajan, Raghu; Santos, Jorge SciPost Physics, Vol. 9, Issue 1 https://doi.org/10.21468/SciPostPhys.9.1.001	journal	January 2020
Quantum Bousso bound Strominger, Andrew; Thompson, David Physical Review D, Vol. 70, Issue 4 https://doi.org/10.1103/PhysRevD.70.044007	journal	August 2004
Proof of a quantum Bousso bound Bousso, Raphael; Casini, Horacio; Fisher, Zachary Physical Review D, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevD.90.044002	journal	August 2014
Entropy, extremality, euclidean variations, and the equations of motion Dong, Xi; Lewkowycz, Aitor Journal of High Energy Physics, Vol. 2018, Issue 1 https://doi.org/10.1007/JHEP01(2018)081	journal	January 2018
Time evolution of entanglement entropy from black hole interiors Hartman, Thomas; Maldacena, Juan Journal of High Energy Physics, Vol. 2013, Issue 5 https://doi.org/10.1007/JHEP05(2013)014	journal	May 2013
Quantum maximin surfaces Akers, Chris; Engelhardt, Netta; Penington, Geoff Journal of High Energy Physics, Vol. 2020, Issue 8 https://doi.org/10.1007/JHEP08(2020)140	journal	August 2020
A quantum circuit interpretation of evaporating black hole geometry Zhao, Ying Journal of High Energy Physics, Vol. 2020, Issue 7 https://doi.org/10.1007/JHEP07(2020)139	journal	July 2020
The Page curve of Hawking radiation from semiclassical geometry Almheiri, Ahmed; Mahajan, Raghu; Maldacena, Juan Journal of High Energy Physics, Vol. 2020, Issue 3 https://doi.org/10.1007/JHEP03(2020)149	journal	March 2020
Black hole thermodynamics and information loss in two dimensions Fiola, Thomas M.; Preskill, John; Strominger, Andrew Physical Review D, Vol. 50, Issue 6 https://doi.org/10.1103/PhysRevD.50.3987	journal	September 1994
The gravity dual of a density matrix Czech, Bartłomiej; Karczmarek, Joanna L.; Nogueira, Fernando Classical and Quantum Gravity, Vol. 29, Issue 15 https://doi.org/10.1088/0264-9381/29/15/155009	journal	July 2012
Time Dependence of Correlation Functions Following a Quantum Quench Calabrese, Pasquale; Cardy, John Physical Review Letters, Vol. 96, Issue 13 https://doi.org/10.1103/PhysRevLett.96.136801	journal	April 2006
Replica wormholes and the entropy of Hawking radiation Almheiri, Ahmed; Hartman, Thomas; Maldacena, Juan Journal of High Energy Physics, Vol. 2020, Issue 5 https://doi.org/10.1007/JHEP05(2020)013	journal	May 2020
Holographic description of AdS cosmologies Hertog, Thomas; Horowitz, Gary T. Journal of High Energy Physics, Vol. 2005, Issue 04 https://doi.org/10.1088/1126-6708/2005/04/005	journal	April 2005
Lower dimensional gravity Jackiw, Roman Nuclear Physics B, Vol. 252 https://doi.org/10.1016/0550-3213(85)90448-1	journal	January 1985
Exploring the membrane theory of entanglement dynamics Mezei, Márk; Virrueta, Julio Journal of High Energy Physics, Vol. 2020, Issue 2 https://doi.org/10.1007/JHEP02(2020)013	journal	February 2020
Delayed reheating and the breakdown of coherent oscillations Easther, Richard; Flauger, Raphael; Gilmore, James B. Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 04 https://doi.org/10.1088/1475-7516/2011/04/027	journal	April 2011
Holography in general space-times Bousso, Raphael Journal of High Energy Physics, Vol. 1999, Issue 06 https://doi.org/10.1088/1126-6708/1999/06/028	journal	June 1999
Comments on holographic entanglement entropy and RG flows Myers, Robert C.; Singh, Ajay Journal of High Energy Physics, Vol. 2012, Issue 4 https://doi.org/10.1007/JHEP04(2012)122	journal	April 2012
The Ryu–Takayanagi Formula from Quantum Error Correction Harlow, Daniel Communications in Mathematical Physics, Vol. 354, Issue 3 https://doi.org/10.1007/s00220-017-2904-z	journal	May 2017
Gravitation and hamiltonian structure in two spacetime dimensions Teitelboim, Claudio Physics Letters B, Vol. 126, Issue 1-2 https://doi.org/10.1016/0370-2693(83)90012-6	journal	June 1983
Universal upper bound on the entropy-to-energy ratio for bounded systems Bekenstein, Jacob D. Physical Review D, Vol. 23, Issue 2 https://doi.org/10.1103/PhysRevD.23.287	journal	January 1981
Infrared realization of dS 2 in AdS 2 Anninos, Dionysios; Hofman, Diego M. Classical and Quantum Gravity, Vol. 35, Issue 8 https://doi.org/10.1088/1361-6382/aab143	journal	March 2018
Mutual information and the F-theorem Casini, Horacio; Huerta, Marina; Myers, Robert C. Journal of High Energy Physics, Vol. 2015, Issue 10 https://doi.org/10.1007/JHEP10(2015)003	journal	October 2015
Page curve for an evaporating black hole Gautason, Friðrik Freyr; Schneiderbauer, Lukas; Sybesma, Watse Journal of High Energy Physics, Vol. 2020, Issue 5 https://doi.org/10.1007/JHEP05(2020)091	journal	May 2020
A covariant entropy conjecture Bousso, Raphael Journal of High Energy Physics, Vol. 1999, Issue 07 https://doi.org/10.1088/1126-6708/1999/07/004	journal	July 1999
Evanescent black holes Callan, Curtis G.; Giddings, Steven B.; Harvey, Jeffrey A. Physical Review D, Vol. 45, Issue 4 https://doi.org/10.1103/PhysRevD.45.R1005	journal	February 1992
The holographic principle Bousso, Raphael Reviews of Modern Physics, Vol. 74, Issue 3 https://doi.org/10.1103/RevModPhys.74.825	journal	August 2002
Density matrices in quantum gravity Anous, Tarek; Kruthoff, Jorrit; Mahajan, Raghu SciPost Physics, Vol. 9, Issue 4 https://doi.org/10.21468/SciPostPhys.9.4.045	journal	January 2020
On entanglement spreading from holography Mezei, Márk Journal of High Energy Physics, Vol. 2017, Issue 5 https://doi.org/10.1007/JHEP05(2017)064	journal	May 2017
On extremal surfaces and de Sitter entropy Narayan, K. Physics Letters B, Vol. 779 https://doi.org/10.1016/j.physletb.2018.02.010	journal	April 2018
Notes on islands in asymptotically flat 2d dilaton black holes Anegawa, Takanori; Iizuka, Norihiro Journal of High Energy Physics, Vol. 2020, Issue 7 https://doi.org/10.1007/JHEP07(2020)036	journal	July 2020
Black hole microstate cosmology Cooper, Sean; Rozali, Moshe; Swingle, Brian Journal of High Energy Physics, Vol. 2019, Issue 7 https://doi.org/10.1007/JHEP07(2019)065	journal	July 2019
De Sitter space and entanglement Arias, Cesar; Diaz, Felipe; Sundell, Per Classical and Quantum Gravity, Vol. 37, Issue 1 https://doi.org/10.1088/1361-6382/ab5b78	journal	December 2019
Effective entropy of quantum fields coupled with gravity Dong, Xi; Qi, Xiao-Liang; Shangnan, Zhou Journal of High Energy Physics, Vol. 2020, Issue 10 https://doi.org/10.1007/JHEP10(2020)052	journal	October 2020
Spread of entanglement and causality Casini, Horacio; Liu, Hong; Mezei, Márk Journal of High Energy Physics, Vol. 2016, Issue 7 https://doi.org/10.1007/JHEP07(2016)077	journal	July 2016
Petz reconstruction in random tensor networks Jia, Hewei Frederic; Rangamani, Mukund Journal of High Energy Physics, Vol. 2020, Issue 10 https://doi.org/10.1007/jhep10(2020)050	journal	October 2020
Entropy on a null surface for interacting quantum field theories and the Bousso bound Bousso, Raphael; Casini, Horacio; Fisher, Zachary Physical Review D, Vol. 91, Issue 8 https://doi.org/10.1103/physrevd.91.084030	journal	April 2015
Proof of a Quantum Bousso Bound Bousso, Raphael; Casini, Horacio; Fisher, Zachary arXiv https://doi.org/10.48550/arxiv.1404.5635	text	January 2014
Geometric Constraints from Subregion Duality Beyond the Classical Regime Akers, Chris; Koeller, Jason; Leichenauer, Stefan arXiv https://doi.org/10.48550/arxiv.1610.08968	preprint	January 2016
Learning the Alpha-bits of Black Holes Hayden, Patrick; Penington, Geoffrey arXiv https://doi.org/10.48550/arxiv.1807.06041	text	January 2018
The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole Almheiri, Ahmed; Engelhardt, Netta; Marolf, Donald arXiv https://doi.org/10.48550/arxiv.1905.08762	text	January 2019
Simple holographic models of black hole evaporation Akers, Chris; Engelhardt, Netta; Harlow, Daniel arXiv https://doi.org/10.48550/arxiv.1910.00972	text	January 2019
Islands outside the horizon Almheiri, Ahmed; Mahajan, Raghu; Maldacena, Juan arXiv https://doi.org/10.48550/arxiv.1910.11077	preprint	January 2019
Replica wormholes and the black hole interior Penington, Geoff; Shenker, Stephen H.; Stanford, Douglas arXiv https://doi.org/10.48550/arxiv.1911.11977	preprint	January 2019
The Python's Lunch: geometric obstructions to decoding Hawking radiation Brown, Adam R.; Gharibyan, Hrant; Penington, Geoff arXiv https://doi.org/10.48550/arxiv.1912.00228	preprint	January 2019
The entropy of Hawking radiation Almheiri, Ahmed; Hartman, Thomas; Maldacena, Juan arXiv https://doi.org/10.48550/arxiv.2006.06872	text	January 2020
Approximate recovery and relative entropy I. general von Neumann subalgebras Faulkner, Thomas; Hollands, Stefan; Swingle, Brian arXiv https://doi.org/10.48550/arxiv.2006.08002	preprint	January 2020
A Holographic Framework for Eternal Inflation Freivogel, Ben; Sekino, Yasuhiro; Susskind, Leonard arXiv https://doi.org/10.48550/arxiv.hep-th/0606204	text	January 2006
Black hole thermodynamics and information loss in two dimensions Fiola, Thomas M.; Preskill, John; Strominger, Andrew arXiv https://doi.org/10.48550/arxiv.hep-th/9403137	text	January 1994

Similar Records

Replica wormholes and the entropy of Hawking radiation

Journal Article · Fri May 01 00:00:00 EDT 2020 · Journal of High Energy Physics (Online) · OSTI ID:1853625

Almheiri, Ahmed; Hartman, Thomas; Maldacena, Juan; +2 more

Information paradox and its resolution in de Sitter holography

Journal Article · Tue Jun 01 00:00:00 EDT 2021 · Physical Review D · OSTI ID:1853625

Geng, Hao; Nomura, Yasunori; Sun, Hao-Yu

Quantum Brownian motion in a bath of parametric oscillators: A model for system-field interactions

Journal Article · Wed Jun 15 00:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States) · OSTI ID:1853625

Hu, B L; Matacz, A

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
AdS-CFT
correspondence
black holes

Title: Islands in cosmology

Citation Formats

References (70)

Similar Records

Related Subjects