Built on

C.-F. Chen, G. Penington and G. Salton, Entanglement Wedge Reconstruction using the Petz Map , 1902.02844
Original
1902
Earlier work this paper cites.
G. Penington, Entanglement Wedge Reconstruction and the Information Paradox , 1905.08255
Original
1905
Earlier work this paper cites.
A. Almheiri, N. Engelhardt, D. Marolf and H. Maxfield, The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole , 1905.08762
Original
1905
Earlier work this paper cites.
A. Almheiri, R. Mahajan, J. Maldacena and Y. Zhao, The Page curve of Hawking radiation from semiclassical geometry , 1908.10996
Original
1908
Earlier work this paper cites.
C. Akers, A. Levine and S. Leichenauer, Large Breakdowns of Entanglement Wedge Reconstruction , 1908.03975
Original
1908
Earlier work this paper cites.
Z. Fu and D. Marolf, Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT , JHEP 11
Original
1909
Earlier work this paper cites.
C. Akers, N. Engelhardt and D. Harlow, Simple holographic models of black hole evaporation , 1910.00972
Original
1910
Earlier work this paper cites.
A. Almheiri, R. Mahajan and J. Maldacena, Islands outside the horizon , 1910.11077
Original
1910
Earlier work this paper cites.
M. Rozali, J. Sully, M. Van Raamsdonk, C. Waddell and D. Wakeham, Information radiation in BCFT models of black holes , 1910.12836
Original
1910
Earlier work this paper cites.
X. Dong and D. Marolf, One-loop universality of holographic codes , 1910.06329
Original
1910
Earlier work this paper cites.
R. Bousso and M. Tomasevic, Unitarity From a Smooth Horizon? , 1911.06305
Original
1911
Earlier work this paper cites.
A. Almheiri, R. Mahajan and J. E. Santos, Entanglement islands in higher dimensions , 1911.09666
Original
1911
Earlier work this paper cites.
A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian and A. Tajdini, Replica Wormholes and the Entropy of Hawking Radiation , 1911.12333
Original
1911
Earlier work this paper cites.
G. Penington, S. H. Shenker, D. Stanford and Z. Yang, Replica wormholes and the black hole interior , 1911.11977
Original
1911
Earlier work this paper cites.
Y. Zhao, A complexity interpretation of evaporating black hole geometry , 1912.00909
Original
1912
Earlier work this paper cites.

Similar

S. W. Hawking, Particle Creation by Black Holes , Commun. Math. Phys. 43
1975
Cited alongside, same era.
C. Teitelboim, Gravitation and Hamiltonian Structure in Two Space-Time Dimensions , Phys. Lett. 126B
1983
Cited alongside, same era.
R. Jackiw, Lower Dimensional Gravity , Nucl. Phys. B252
1985
Cited alongside, same era.
D. N. Page, Information in black hole radiation , Phys. Rev. Lett. 71
1993
Cited alongside, same era.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys. Rev. Lett. 96
2006
Cited alongside, same era.
A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, Holographic representation of local bulk operators , Phys. Rev. D74
2006

Then

N. Engelhardt and A. C. Wall, Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime , JHEP 01
Original
2015
Later among the works it cites.
A. Almheiri and J. Polchinski, Models of AdS 2
Original
2015
Later among the works it cites.
X. Dong, D. Harlow and A. C. Wall, Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality , Phys. Rev. Lett. 117
Original
2016
Later among the works it cites.
D. L. Jafferis and S. J. Suh, The Gravity Duals of Modular Hamiltonians , JHEP 09
Original
2016
Later among the works it cites.
D. L. Jafferis, A. Lewkowycz, J. Maldacena and S. J. Suh, Relative entropy equals bulk relative entropy , JHEP 06

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2019

Pulling Out the Island with Modular Flow

Chen, Yiming

Understand

Recent works have suggested that the entanglement wedge of Hawking radiation coming from an AdS black hole, will include an island inside the black hole interior after the Page time.

In this paper, we propose a concrete way to extract the information from the island by acting only on the radiation degrees of freedom, building on the equivalence between the boundary and bulk modular flow.
We consider examples with black holes in JT gravity coupled to baths.
In the case that the bulk conformal fields contain free massless fermion field, we provide explicit bulk picture of the information extraction process, where we find that one can almost pull out an operator from the island to the bath with modular flow.

Built on

C.-F. Chen, G. Penington and G. Salton, Entanglement Wedge Reconstruction using the Petz Map , 1902.02844
Original
1902
Earlier work this paper cites.
G. Penington, Entanglement Wedge Reconstruction and the Information Paradox , 1905.08255
Original
1905
Earlier work this paper cites.
A. Almheiri, N. Engelhardt, D. Marolf and H. Maxfield, The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole , 1905.08762
Original
1905
Earlier work this paper cites.
A. Almheiri, R. Mahajan, J. Maldacena and Y. Zhao, The Page curve of Hawking radiation from semiclassical geometry , 1908.10996
Original
1908
Earlier work this paper cites.
C. Akers, A. Levine and S. Leichenauer, Large Breakdowns of Entanglement Wedge Reconstruction , 1908.03975
Original
1908
Earlier work this paper cites.
Z. Fu and D. Marolf, Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT , JHEP 11
Original
1909
Earlier work this paper cites.
C. Akers, N. Engelhardt and D. Harlow, Simple holographic models of black hole evaporation , 1910.00972
Original
1910
Earlier work this paper cites.
A. Almheiri, R. Mahajan and J. Maldacena, Islands outside the horizon , 1910.11077
Original
1910
Earlier work this paper cites.
M. Rozali, J. Sully, M. Van Raamsdonk, C. Waddell and D. Wakeham, Information radiation in BCFT models of black holes , 1910.12836
Original
1910
Earlier work this paper cites.
X. Dong and D. Marolf, One-loop universality of holographic codes , 1910.06329
Original
1910
Earlier work this paper cites.
R. Bousso and M. Tomasevic, Unitarity From a Smooth Horizon? , 1911.06305
Original
1911
Earlier work this paper cites.
A. Almheiri, R. Mahajan and J. E. Santos, Entanglement islands in higher dimensions , 1911.09666
Original
1911
Earlier work this paper cites.
A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian and A. Tajdini, Replica Wormholes and the Entropy of Hawking Radiation , 1911.12333
Original
1911
Earlier work this paper cites.
G. Penington, S. H. Shenker, D. Stanford and Z. Yang, Replica wormholes and the black hole interior , 1911.11977
Original
1911
Earlier work this paper cites.
Y. Zhao, A complexity interpretation of evaporating black hole geometry , 1912.00909
Original
1912
Earlier work this paper cites.

Similar

S. W. Hawking, Particle Creation by Black Holes , Commun. Math. Phys. 43
1975
Cited alongside, same era.
C. Teitelboim, Gravitation and Hamiltonian Structure in Two Space-Time Dimensions , Phys. Lett. 126B
1983
Cited alongside, same era.
R. Jackiw, Lower Dimensional Gravity , Nucl. Phys. B252
1985
Cited alongside, same era.
D. N. Page, Information in black hole radiation , Phys. Rev. Lett. 71
1993
Cited alongside, same era.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys. Rev. Lett. 96
2006
Cited alongside, same era.
A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, Holographic representation of local bulk operators , Phys. Rev. D74
2006