リケラボ論文検索は、全国の大学リポジトリにある学位論文・教授論文を一括検索できる論文検索サービスです。

リケラボ 全国の大学リポジトリにある学位論文・教授論文を一括検索するならリケラボ論文検索大学・研究所にある論文を検索できる

リケラボ 全国の大学リポジトリにある学位論文・教授論文を一括検索するならリケラボ論文検索大学・研究所にある論文を検索できる

大学・研究所にある論文を検索できる 「Holographic moving mirrors」の論文概要。リケラボ論文検索は、全国の大学リポジトリにある学位論文・教授論文を一括検索できる論文検索サービスです。

コピーが完了しました

URLをコピーしました

論文の公開元へ論文の公開元へ
書き出し

Holographic moving mirrors

Akal, Ibrahim Kusuki, Yuya Shiba, Noburo Takayanagi, Tadashi Wei, Zixia 京都大学 DOI:10.1088/1361-6382/ac2c1b

2021.11.18

概要

Moving mirrors have been known as tractable setups modeling Hawking radiation from black holes. In this paper, motivated by recent developments regarding the black hole information problem, we present extensive studies of moving mirrors in conformal field theories by employing both field theoretic as well as holographic methods. Reviewing first the usual field theoretic formulation of moving mirrors, we construct their gravity dual by resorting to the AdS/BCFT construction. Based on our holographic formulation, we then calculate the time evolution of entanglement entropy in various moving mirror models. In doing so, we mainly focus on three different setups: escaping mirror, which models constant Hawking radiation emanating from an eternal black hole; kink mirror, which models an evaporating black hole formed from collapse; and the double escaping mirror, which models two constantly radiating eternal black holes. In particular, by computing the holographic entanglement entropy, we show that the kink mirror gives rise to an ideal Page curve. We also find that an interesting phase transition arises in the case of the double escaping mirror. Furthermore, we argue and provide evidence for an interpretation of moving mirrors in terms of two dimensional Liouville gravity. We also discuss the connection between quantum energy conditions and the time evolution of holographic entanglement entropy in moving mirror models.

この論文で使われている画像

参考文献

[1]

[2]

[3]

[4]

[5]

[6]

[7]

[8]

[9]

[10]

[11]

[12]

Hawking S W 1974 Black hole explosions? Nature 248 30

Hawking S W 1975 Particle creation by black holes Commun. Math. Phys. 43 199

Page D N 1993 Average entropy of a subsystem Phys. Rev. Lett. 71 1291

Page D N 1993 Information in black hole radiation Phys. Rev. Lett. 71 3743

Ryu S and Takayanagi T 2006 Holographic derivation of entanglement entropy from the anti-de

Sitter space/conformal field theory correspondence Phys. Rev. Lett. 96 181602

Hubeny V E, Rangamani M and Takayanagi T 2007 A covariant holographic entanglement entropy

proposal J. High Energy Phys. JHEP07(2007)062

Faulkner T, Lewkowycz A and Maldacena J 2013 Quantum corrections to holographic entanglement entropy J. High Energy Phys. JHEP11(2013)074

Engelhardt N and Wall A C 2015 Quantum extremal surfaces: holographic entanglement entropy

beyond the classical regime J. High Energy Phys. JHEP01(2015)073

Penington G 2020 Entanglement wedge reconstruction and the information paradox J. High Energy

Phys. JHEP09(2020)002

Almheiri A, Engelhardt N, Marolf D and Maxfield H 2019 The entropy of bulk quantum fields and

the entanglement wedge of an evaporating black hole J. High Energy Phys. JHEP12(2019)063

Almheiri A, Mahajan R, Maldacena J and Zhao Y 2020 The Page curve of Hawking radiation from

semiclassical geometry J. High Energy Phys. JHEP03(2020)149

Penington G, Shenker S H, Stanford D and Yang Z 2019 Replica wormholes and the black hole

interior (arXiv:1911.11977)

71

A Self-archived copy in

Kyoto University Research Information Repository

https://repository.kulib.kyoto-u.ac.jp

Class. Quantum Grav. 38 (2021) 224001

I Akal et al

[13] Almheiri A, Hartman T, Maldacena J, Shaghoulian E and Tajdini A 2020 Replica wormholes and

the entropy of Hawking radiation J. High Energy Phys. JHEP05(2020)013

[14] Akers C, Engelhardt N and Harlow D 2020 Simple holographic models of black hole evaporation

J. High Energy Phys. JHEP08(2020)032

[15] Rozali M, Sully J, Van Raamsdonk M, Waddell C and Wakeham D 2020 Information radiation in

BCFT models of black holes J. High Energy Phys. JHEP05(2020)004

[16] Bousso R and Tomasˇevi´c M 2020 Unitarity from a smooth horizon? Phys. Rev. D 102 106019

[17] Nomura Y 2020 Interior of a unitarily evaporating black hole Phys. Rev. D 102 026001

[18] Chen Y 2020 Pulling out the island with modular flow J. High Energy Phys. JHEP03(2020)033

[19] Kusuki Y, Suzuki Y, Takayanagi T and Umemoto K 2020 Looking at shadows of entanglement

wedges Prog. Theor. Exp. Phys. 2020 11B105

[20] Chen H Z, Fisher Z, Hernandez J, Myers R C and Ruan S-M 2020 Information flow in black hole

evaporation J. High Energy Phys. JHEP03(2020)152

[21] Laddha A, Prabhu S G, Raju S and Shrivastava P 2021 The holographic nature of null infinity

SciPost Phys. 10 41

[22] Pollack J, Rozali M, Sully J and Wakeham D 2020 Eigenstate thermalization and disorder

averaging in gravity Phys. Rev. Lett. 125 021601

[23] Liu H and Vardhan S 2021 A dynamical mechanism for the Page curve from quantum chaos J.

High Energy Phys. JHEP03(2021)088

[24] Balasubramanian V, Kar A, Parrikar O, Sárosi G and Ugajin T 2021 Geometric secret sharing in

a model of Hawking radiation J. High Energy Phys. JHEP01(2021)177

[25] Marolf D and Maxfield H 2020 Transcending the ensemble: baby universes, spacetime wormholes,

and the order and disorder of black hole information J. High Energy Phys. JHEP08(2020)044

[26] Kim I, Tang E and Preskill J 2020 The ghost in the radiation: robust encodings of the black hole

interior J. High Energy Phys. JHEP06(2020)031

[27] Verlinde H 2020 ER = EPR revisited: on the entropy of an Einstein–Rosen bridge

(arXiv:2003.13117)

[28] Chen Y, Qi X-L and Zhang P 2020 Replica wormhole and information retrieval in the SYK model

coupled to Majorana chains J. High Energy Phys. JHEP06(2020)121

[29] Gautason F F, Schneiderbauer L, Sybesma W and Thorlacius L 2020 Page curve for an evaporating

black hole J. High Energy Phys. JHEP05(2020)091

[30] Anegawa T and Iizuka N 2020 Notes on islands in asymptotically flat 2D dilaton black holes J.

High Energy Phys. JHEP07(2020)036

[31] Giddings S B and Turiaci G J 2020 Wormhole calculus, replicas, and entropies J. High Energy

Phys. JHEP09(2020)194

[32] Hashimoto K, Iizuka N and Matsuo Y 2020 Islands in Schwarzschild black holes J. High Energy

Phys. JHEP06(2020)085

[33] Sully J, Van Raamsdonk M and Wakeham D 2021 BCFT entanglement entropy at large central

charge and the black hole interior J. High Energy Phys. JHEP03(2021)167

[34] Hartman T, Shaghoulian E and Strominger A 2020 Islands in asymptotically flat 2D gravity J.

High Energy Phys. JHEP07(2020)022

[35] Hollowood T J and Kumar S P 2020 Islands and Page curves for evaporating black holes in JT

gravity J. High Energy Phys. JHEP08(2020)094

[36] Krishnan C, Patil V and Pereira J 2020 Page curve and the information paradox in flat space

(arXiv:2005.02993)

[37] Alishahiha M, Faraji Astaneh A and Naseh A 2021 Island in the presence of higher derivative

terms J. High Energy Phys. JHEP02(2021)035

[38] Chen H Z, Myers R C, Neuenfeld D, Reyes I A and Sandor J 2020 Quantum extremal islands made

easy. Part I. Entanglement on the brane J. High Energy Phys. JHEP10(2020)166

[39] Geng H and Karch A 2020 Massive islands J. High Energy Phys. JHEP09(2020)121

[40] Chandrasekaran V, Miyaji M and Rath P 2020 Including contributions from entanglement islands

to the reflected entropy Phys. Rev. D 102 086009

[41] Krishnan C 2021 Critical islands J. High Energy Phys. JHEP01(2021)179

[42] Karlsson A 2020 Replica wormhole and island incompatibility with monogamy of entanglement

(arXiv:2007.10523)

[43] Chen H Z, Fisher Z, Hernandez J, Myers R C and Ruan S-M 2021 Evaporating black holes coupled

to a thermal bath J. High Energy Phys. JHEP01(2021)065

72

A Self-archived copy in

Kyoto University Research Information Repository

https://repository.kulib.kyoto-u.ac.jp

Class. Quantum Grav. 38 (2021) 224001

I Akal et al

[44] Chen Y, Gorbenko V and Maldacena J 2021 Bra-ket wormholes in gravitationally prepared states

J. High Energy Phys. JHEP02(2021)009

[45] Hartman T, Jiang Y and Shaghoulian E 2020 Islands in cosmology J. High Energy Phys.

JHEP11(2020)111

[46] Langhoff K and Nomura Y 2020 Ensemble from coarse graining: reconstructing the interior of an

evaporating black hole Phys. Rev. D 102 086021

[47] Balasubramanian V, Kar A and Ugajin T 2021 Entanglement between two disjoint universes J.

High Energy Phys. JHEP02(2021)136

[48] Balasubramanian V, Kar A and Ugajin T 2021 Islands in de Sitter space J. High Energy Phys.

JHEP02(2021)072

[49] Chen H Z, Myers R C, Neuenfeld D, Reyes I A and Sandor J 2020 Quantum extremal islands made

easy, part II: black holes on the brane J. High Energy Phys. JHEP12(2020)025

[50] Nomura Y 2021 Black hole interior in unitary gauge construction Phys. Rev. D 103 066011

[51] Goto K, Hartman T and Tajdini A 2021 Replica wormholes for an evaporating 2D black hole J.

High Energy Phys. JHEP04(2021)289

[52] Matsuo Y 2021 Islands and stretched horizon (arXiv:2011.08814)

[53] Geng H, Karch A, Perez-Pardavila C, Raju S, Randall L, Riojas M and Shashi S 2021 Information

transfer with a gravitating bath SciPost Phys. 10 103

[54] Miyaji M, Takayanagi T and Ugajin T 2021 Spectrum of end of the world branes in holographic

BCFTs (arXiv:2103.06893)

[55] Geng H, Nomura Y and Sun H-Y 2021 An information paradox and its resolution in de Sitter

holography (arXiv:2103.07477)

[56] Anderson L, Parrikar O and Soni R M 2021 Islands with gravitating baths (arXiv:2103.14746)

[57] Bhattacharya A, Bhattacharyya A, Nandy P and Patra A K 2021 Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model J. High Energy Phys.

JHEP05(2021)135

[58] Miyata A and Ugajin T 2021 Evaporation of black holes in flat space entangled with an auxiliary

universe (arXiv:2104.00183)

[59] Geng H, Lüst S, Mishra R K and Wakeham D 2021 Holographic BCFTs and communicating black

holes (arXiv:2104.07039)

[60] Balasubramanian V, Kar A and Ugajin T 2021 Entanglement between two gravitating universes

(arXiv:2104.13383)

[61] Kawabata K, Nishioka T, Okuyama Y and Watanabe K 2021 Probing Hawking radiation through

capacity of entanglement (arXiv:2102.02425)

[62] Kawabata K, Nishioka T, Okuyama Y and Watanabe K 2021 Replica wormholes and capacity of

entanglement (arXiv:2105.08396)

[63] Bousso R and Wildenhain E 2020 Gravity/ensemble duality Phys. Rev. D 102 066005

[64] Akal I 2020 Universality, intertwiners and black hole information (arXiv:2010.12565)

[65] Bekenstein J D 1972 Black holes and the second law Lett. Nuovo Cimento 4 737

[66] Bekenstein J D 1973 Black holes and entropy Phys. Rev. D 7 2333

[67] Bekenstein J D 1974 Generalized second law of thermodynamics in black-hole physics Phys. Rev.

D 9 3292

[68] Susskind L and Uglum J 1994 Black hole entropy in canonical quantum gravity and superstring

theory Phys. Rev. D 50 2700

[69] Jacobson T 1994 Black hole entropy and induced gravity (arXiv:gr-qc/9404039)

[70] Fursaev D V and Solodukhin S N 1996 On one-loop renormalization of black-hole entropy Phys.

Lett. B 365 51

[71] Demers J-G, Lafrance R and Myers R C 1995 Black hole entropy without brick walls Phys. Rev.

D 52 2245

[72] Kabat D 1995 Black hole entropy and entropy of entanglement Nucl. Phys. B 453 281

[73] Larsen F and Wilczek F 1996 Renormalization of black hole entropy and of the gravitational

coupling constant Nucl. Phys. B 458 249

[74] Frolov V and Novikov I 1993 Dynamical origin of the entropy of a black hole Phys. Rev. D 48

4545

[75] Czech B, Karczmarek J L, Nogueira F and Van Raamsdonk M 2012 The gravity dual of a density

matrix Class. Quantum Grav. 29 155009

[76] Wall A C 2014 Maximin surfaces, and the strong subadditivity of the covariant holographic

entanglement entropy Class. Quantum Grav. 31 225007

73

A Self-archived copy in

Kyoto University Research Information Repository

https://repository.kulib.kyoto-u.ac.jp

Class. Quantum Grav. 38 (2021) 224001

I Akal et al

[77] Headrick M, Hubeny V E, Lawrence A and Rangamani M 2014 Causality & holographic

entanglement entropy J. High Energy Phys. JHEP12(2014)162

[78] Jafferis D L, Lewkowycz A, Maldacena J and Suh S J 2016 Relative entropy equals bulk relative

entropy J. High Energy Phys. JHEP06(2016)004

[79] Dong X, Harlow D and Wall A C 2016 Reconstruction of bulk operators within the entanglement

wedge in gauge-gravity duality Phys. Rev. Lett. 117 021601

[80] Akal I 2021 Information storage and near horizon quantum correlations (arXiv:2109.01639)

[81] Susskind L 1993 Some speculations about black hole entropy in string theory (arXiv:hep-th/

9309145)

[82] Horowitz G T and Polchinski J 1997 Correspondence principle for black holes and strings Phys.

Rev. D 55 6189

[83] Bardeen J M, Carter B and Hawking S W 1973 The four laws of black hole mechanics Commun.

Math. Phys. 31 161

[84] Carlip S 2007 Black hole entropy and the problem of universality J. Phys. Conf. Ser. 67 012022

[85] Birrell N and Davies P 1984 Quantum Fields in Curved Space (Cambridge Monographs on

Mathematical Physics Volume 2) (Cambridge: Cambridge University Press)

[86] Davies P and Fulling S 1976 Radiation from a moving mirror in two-dimensional space-time

conformal anomaly Proc. R. Soc. A 348 393

[87] Akal I, Kusuki Y, Shiba N, Takayanagi T and Wei Z 2021 Entanglement entropy in a holographic

moving mirror and the Page curve Phys. Rev. Lett. 126 061604

[88] Maldacena J M 1999 The large N limit of superconformal field theories and supergravity Int. J.

Theor. Phys. 38 1113

[89] Karch A and Randall L 2001 Open and closed string interpretation of SUSY CFT’s on branes with

boundaries J. High Energy Phys. JHEP06(2001)063

[90] Takayanagi T 2011 Holographic dual of a boundary conformal field theory Phys. Rev. Lett. 107

101602

[91] Fujita M, Takayanagi T and Tonni E 2011 Aspects of AdS/BCFT J. High Energy Phys.

JHEP11(2011)043

[92] Ryu S and Takayanagi T 2006 Aspects of holographic entanglement entropy J. High Energy Phys.

JHEP08(2006)045

[93] Bianchi E and Smerlak M 2014 Entanglement entropy and negative energy in two dimensions

Phys. Rev. D 90 041904

[94] Hotta M and Sugita A 2015 The fall of the black hole firewall: natural nonmaximal entanglement

for the page curve Prog. Theor. Exp. Phys. 2015 123B04

[95] Chen P and Yeom D-h 2017 Entropy evolution of moving mirrors and the information loss problem

Phys. Rev. D 96 025016

[96] Good M R R, Linder E V and Wilczek F 2020 Moving mirror model for quasithermal radiation

fields Phys. Rev. D 101 025012

[97] Bousso R, Fisher Z, Leichenauer S and Wall A C 2016 Quantum focusing conjecture Phys. Rev.

D 93 064044

[98] Bousso R, Fisher Z, Koeller J, Leichenauer S and Wall A C 2016 Proof of the quantum null energy

condition Phys. Rev. D 93 024017

[99] Carlitz R D and Willey R S 1987 Reflections on moving mirrors Phys. Rev. D 36 2327

[100] Good M R R, Anderson P R and Evans C R 2016 Mirror reflections of a black hole Phys. Rev. D

94 065010

[101] Good M R R, Anderson P R and Evans C R 2013 Time dependence of particle creation from

accelerating mirrors Phys. Rev. D 88 025023

[102] Callan C G Jr, Giddings S B, Harvey J A and Strominger A 1992 Evanescent black holes Phys.

Rev. D 45 R1005

[103] Fabbri A and Navarro-Salas J 2005 Modeling Black Hole Evaporation (Singapore: World

Scientific)

[104] Akal I, Kusuki Y, Takayanagi T and Wei Z 2020 Codimension-two holography for wedges Phys.

Rev. D 102 126007

[105] Banados M 1999 Three-dimensional quantum geometry and black holes AIP Conf. Proc. 484 147

[106] Roberts M M 2012 Time evolution of entanglement entropy from a pulse J. High Energy Phys.

JHEP12(2012)027

[107] Shimaji T, Takayanagi T and Wei Z 2019 Holographic quantum circuits from splitting/joining local

quenches J. High Energy Phys. JHEP03(2019)165

74

A Self-archived copy in

Kyoto University Research Information Repository

https://repository.kulib.kyoto-u.ac.jp

Class. Quantum Grav. 38 (2021) 224001

I Akal et al

[108] Randall L and Sundrum R 1999 Large mass hierarchy from a small extra dimension Phys. Rev.

Lett. 83 3370

[109] Randall L and Sundrum R 1999 An alternative to compactification Phys. Rev. Lett. 83 4690

[110] Karch A and Randall L 2001 Locally localized gravity J. High Energy Phys. JHEP05(2001)008

[111] Almheiri A, Mahajan R and Maldacena J 2019 Islands outside the horizon (arXiv:1910.11077)

[112] Hartman T and Maldacena J 2013 Time evolution of entanglement entropy from black hole

Interiors J. High Energy Phys. JHEP05(2013)014

[113] Wall A C 2012 Testing the generalized second law in 1 + 1 dimensional conformal vacua: an

argument for the causal horizon Phys. Rev. D 85 024015

[114] Ecker C, Grumiller D, van der Schee W and Stanzer P 2018 Saturation of the quantum null energy

condition in far-from-equilibrium systems Phys. Rev. D 97 126016

[115] Leichenauer S, Levine A and Shahbazi-Moghaddam A 2018 Energy density from second shape

variations of the von Neumann entropy Phys. Rev. D 98 086013

[116] Ecker C, Grumiller D, van der Schee W, Sheikh-Jabbari M M and Stanzer P 2019 Quantum null

energy condition and its (non)saturation in 2D CFTs SciPost Phys. 6 36

[117] Calabrese P and Cardy J 2016 Quantum quenches in 1 + 1 dimensional conformal field theories

J. Stat. Mech. 064003

[118] Calabrese P and Cardy J 2004 Entanglement entropy and quantum field theory J. Stat. Mech.:

Theor. Exp. 2004 P06002

[119] Calabrese P and Cardy J 2009 Entanglement entropy and conformal field theory J. Phys. A: Math.

Theor. 42 504005

[120] Casini H and Huerta M 2009 Entanglement entropy in free quantum field theory J. Phys. A: Math.

Theor. 42 504007

[121] Reyes I A 2021 Moving mirrors, Page curves and bulk entropies in AdS2 (arXiv:2103.01230)

[122] Calabrese P and Cardy J 2005 Evolution of entanglement entropy in one-dimensional systems J.

Stat. Mech. P04010

[123] Cardy J L 2008 Boundary conformal field theory (arXiv:hep-th/0411189)

[124] Calabrese P and Cardy J 2007 Entanglement and correlation functions following a local quench:

a conformal field theory approach J. Stat. Mech. P10004

[125] Asplund C T and Bernamonti A 2014 Mutual information after a local quench in conformal field

theory Phys. Rev. D 89 066015

[126] Caputa P, Numasawa T, Shimaji T, Takayanagi T and Wei Z 2019 Double local quenches in 2D

CFTs and gravitational force J. High Energy Phys. JHEP09(2019)018

75

...

参考文献をもっと見る

全国の大学の
卒論・修論・学位論文

一発検索!

この論文の関連論文を見る