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Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity

Jan 20, 2025

46 pages

e-Print:

2501.11474 [hep-th]

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Abstract: (arXiv)

By employing the replica trick we study the impact of the replica parameter

n

on the modular entropy and the capacity of entanglement in the End of the World (EoW) model and the island model, respectively. For the EoW model, we present

n

-dependent evolution curves of the modular entropy and the capacity of entanglement under both microcanonical and canonical ensembles. In particular, in the canonical ensemble, all quantities decrease as

n

increases at late times. For the island model, we develop the replica geometry for finite

n

and re-evaluate the modular entropy and the capacity of entanglement in a two-sided eternal Jackiw-Teitelboim black hole coupled with a thermal bath. In the case of a single island configuration, the modular entropy and capacity of entanglement closely resemble the thermal entropy and the heat capacity, respectively, yielding results analogous to those obtained in the canonical ensemble for the EoW model. The analysis of the results from these two models strongly indicates that in geometries with a greater number of

n

copies, more connected geometries effectively purify thermal Hawking radiation. In addition, we compare these findings with statistical mechanics and provide an interpretation for the replica parameter

n

. Finally, we generalize the island formula to accommodate the finite

n

case under this interpretation.

Note:

46 pages, 11 figures, 2 tables

References(138)

Figures(18)

[1]

Particle Creation by Black Holes

S.W. Hawking
(
- Cambridge U., DAMTP and
- Caltech
)

- Commun.Math.Phys. 43 (1975) 199-220,
- Commun.Math.Phys. 46 (1976) 206 (erratum),
•
DOI:
- 10.1007/BF02345020

[1]

Particle Creation by Black Holes

S.W. Hawking
(
- Cambridge U., DAMTP and
- Caltech
)

- Commun.Math.Phys. 43 (1975) 199-220,
- Commun.Math.Phys. 46 (1976) 206 (erratum),
•
DOI:
- 10.1007/BF02345020

[2]

Breakdown of Predictability in Gravitational Collapse

S.W. Hawking
(
- Cambridge U. and
- Caltech
)

- Phys.Rev.D 14 (1976) 2460-2473
•
DOI:
- 10.1103/PhysRevD.14.2460

[3]

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole

Ahmed Almheiri
(
- Princeton, Inst. Advanced Study
)
,
Netta Engelhardt
(
- Princeton U.
)
,
Donald Marolf
(
- UC, Santa Barbara
)
,
Henry Maxfield
(
- UC, Santa Barbara
)

- JHEP 12 (2019) 063
•
e-Print:
- 1905.08762
•
DOI:
- 10.1007/JHEP12(2019)063

[4]

The Page curve of Hawking radiation from semiclassical geometry

- JHEP 03 (2020) 149
•
e-Print:
- 1908.10996
•
DOI:
- 10.1007/JHEP03(2020)149

[5]

Entanglement Wedge Reconstruction and the Information Paradox

Geoffrey Penington
(
- Stanford U., ITP
)

- JHEP 09 (2020) 002
•
e-Print:
- 1905.08255
•
DOI:
- 10.1007/JHEP09(2020)002

[6]

The entropy of Hawking radiation

- Rev.Mod.Phys. 93 (2021) 3, 035002
•
e-Print:
- 2006.06872
•
DOI:
- 10.1103/RevModPhys.93.035002

[7]

Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime

Netta Engelhardt
(
- UC, Santa Barbara
)
,
Aron C. Wall
(
- UC, Santa Barbara
)

- JHEP 01 (2015) 073
•
e-Print:
- 1408.3203
•
DOI:
- 10.1007/JHEP01(2015)073

[8]

Information in black hole radiation

Don N. Page
(
- Alberta U.
)

- Phys.Rev.Lett. 71 (1993) 3743-3746
•
e-Print:
- hep-th/9306083
•
DOI:
- 10.1103/PhysRevLett.71.3743

[9]

Time Dependence of Hawking Radiation Entropy

Don N. Page
(
- Alberta U.
)

- JCAP 09 (2013) 028
•
e-Print:
- 1301.4995
•
DOI:
- 10.1088/1475-7516/2013/09/028

[10]

Holographic derivation of entanglement entropy from AdS/CFT

- Phys.Rev.Lett. 96 (2006) 181602
•
e-Print:
- hep-th/0603001
•
DOI:
- 10.1103/PhysRevLett.96.181602

[11]

Aspects of Holographic Entanglement Entropy

Shinsei Ryu
(
- Santa Barbara, KITP
)
,
Tadashi Takayanagi
(
- Kyoto U.
)

- JHEP 08 (2006) 045
•
e-Print:
- hep-th/0605073
•
DOI:
- 10.1088/1126-6708/2006/08/045

[12]

Generalized gravitational entropy

- JHEP 08 (2013) 090
•
e-Print:
- 1304.4926
•
DOI:
- 10.1007/JHEP08(2013)090

[13]

Replica wormholes and the black hole interior

- JHEP 03 (2022) 205
•
e-Print:
- 1911.11977
•
DOI:
- 10.1007/JHEP03(2022)205

[14]

Replica Wormholes and the Entropy of Hawking Radiation

- JHEP 05 (2020) 013
•
e-Print:
- 1911.12333
•
DOI:
- 10.1007/JHEP05(2020)013

[18]

Replica wormholes for an evaporating 2D black hole

Kanato Goto
(
- Cornell U. and
- Wako, RIKEN
)
,
Thomas Hartman
(
- Cornell U.
)
,
Amirhossein Tajdini
(
- UC, Santa Barbara
)

- JHEP 04 (2021) 289
•
e-Print:
- 2011.09043
•
DOI:
- 10.1007/JHEP04(2021)289

[16]

Islands outside the horizon

e-Print:
- 1910.11077

[17]

Islands and Page Curves for Evaporating Black Holes in JT Gravity

Timothy J. Hollowood
(
- Swansea U.
)
,
S. Prem Kumar
(
- Swansea U.
)

- JHEP 08 (2020) 094
•
e-Print:
- 2004.14944
•
DOI:
- 10.1007/JHEP08(2020)094

[18]

Replica wormholes for an evaporating 2D black hole

Kanato Goto
(
- Cornell U. and
- Wako, RIKEN
)
,
Thomas Hartman
(
- Cornell U.
)
,
Amirhossein Tajdini
(
- UC, Santa Barbara
)

- JHEP 04 (2021) 289
•
e-Print:
- 2011.09043
•
DOI:
- 10.1007/JHEP04(2021)289

[19]

Notes on islands in asymptotically flat 2d dilaton black holes

Takanori Anegawa
(
- Osaka U.
)
,
Norihiro Iizuka
(
- Osaka U.
)

- JHEP 07 (2020) 036
•
e-Print:
- 2004.01601
•
DOI:
- 10.1007/JHEP07(2020)036

[20]

Page Curve for an Evaporating Black Hole

Friðrik Freyr Gautason
(
- Leuven U. and
- Iceland U.
)
,
Lukas Schneiderbauer
(
- Iceland U.
)
,
Watse Sybesma
(
- Iceland U.
)
,
Lárus Thorlacius
(
- Iceland U.
)

- JHEP 05 (2020) 091
•
e-Print:
- 2004.00598
•
DOI:
- 10.1007/JHEP05(2020)091

[21]

Islands in Asymptotically Flat 2D Gravity

Thomas Hartman
(
- Cornell U.
)
,
Edgar Shaghoulian
(
- Cornell U.
)
,
Andrew Strominger
(
- Harvard U., Phys. Dept.
)

- JHEP 07 (2020) 022
•
e-Print:
- 2004.13857
•
DOI:
- 10.1007/JHEP07(2020)022

[22]

Page curves for a family of exactly solvable evaporating black holes

Xuanhua Wang
(
- SUNY, Stony Brook
)
,
Ran Li
(
- SUNY, Stony Brook, Chem. Dept. and
- Henan Normal U.
)
,
Jin Wang
(
- SUNY, Stony Brook and
- SUNY, Stony Brook, Chem. Dept.
)

- Phys.Rev.D 103 (2021) 12, 126026
•
e-Print:
- 2104.00224
•
DOI:
- 10.1103/PhysRevD.103.126026

[23]

Island may not save the information paradox of Liouville black holes

Ran Li
(
- Henan Normal U. and
- SUNY, Stony Brook, Chem. Dept.
)
,
Xuanhua Wang
(
- SUNY, Stony Brook
)
,
Jin Wang
(
- SUNY, Stony Brook, Chem. Dept. and
- SUNY, Stony Brook
)

- Phys.Rev.D 104 (2021) 10, 106015
•
e-Print:
- 2105.03271
•
DOI:
- 10.1103/PhysRevD.104.106015

[24]

Entanglement islands in generalized two-dimensional dilaton black holes

Ming-Hui Yu
(
- Shanghai U.
)
,
Xian-Hui Ge
(
- Shanghai U.
)

- Phys.Rev.D 107 (2023) 6, 066020
•
e-Print:
- 2208.01943
•
DOI:
- 10.1103/PhysRevD.107.066020

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