Built on

C.-F. Chen, G. Penington, and G. Salton, “Entanglement Wedge Reconstruction using the Petz Map,” JHEP
Original
1902
Earlier work this paper cites.
J. Maldacena, G. J. Turiaci, and Z. Yang, “Two dimensional Nearly de Sitter gravity,” arXiv:1904.01911 [hep-th]
Original
1904
Earlier work this paper cites.
G. Penington, “Entanglement Wedge Reconstruction and the Information Paradox,” arXiv:1905.08255 [hep-th]
Original
1905
Earlier work this paper cites.
C. Akers, N. Engelhardt, and D. Harlow, “Simple holographic models of black hole evaporation,” arXiv:1910.00972 [hep-th]
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,” JHEP
Original
1910
Earlier work this paper cites.
A. Almheiri, R. Mahajan, and J. Maldacena, “Islands outside the horizon,” arXiv:1910.11077 [hep-th]
Original
1910
Earlier work this paper cites.
X. Dong and D. Marolf, “One-loop universality of holographic codes,” JHEP
Original
1910
Earlier work this paper cites.
H. Z. Chen, Z. Fisher, J. Hernandez, R. C. Myers, and S.-M. Ruan, “Information Flow in Black Hole Evaporation,” JHEP
Original
1911
Earlier work this paper cites.
R. Bousso and M. Tomavsević, “Unitarity From a Smooth Horizon?,” arXiv:1911.06305 [hep-th]
Original
1911
Earlier work this paper cites.
A. Almheiri, R. Mahajan, and J. E. Santos, “Entanglement islands in higher dimensions,” arXiv:1911.09666 [hep-th]
Original
1911
Earlier work this paper cites.
G. Penington, S. H. Shenker, D. Stanford, and Z. Yang, “Replica wormholes and the black hole interior,” arXiv:1911.11977 [hep-th]
Original
1911
Earlier work this paper cites.
J. Maldacena and A. Milekhin, “SYK wormhole formation in real time,” arXiv:1912.03276 [hep-th]
Original
1912
Earlier work this paper cites.
Y. Chen, “Pulling Out the Island with Modular Flow,” JHEP
Original
1912
Earlier work this paper cites.
Cambridge university press, 1973
S. W. Hawking and G. F. R. Ellis, The large scale structure of space-time · 1973
Earlier work this paper cites.
C. Teitelboim, “Gravitation and hamiltonian structure in two spacetime dimensions,” Physics Letters B
1983
Earlier work this paper cites.
J. B. Hartle and S. W. Hawking, “Wave function of the universe,” Phys. Rev. D
1983
Earlier work this paper cites.
R. Jackiw, “Lower dimensional gravity,” Nuclear Physics B
1985
Earlier work this paper cites.
D. N. Page, “Density matrix of the universe,” Phys. Rev. D
1986
Earlier work this paper cites.
S. Hawking, “The Density Matrix of the Universe,” Phys. Scripta T
1987
Earlier work this paper cites.

Similar

J. Maldacena, “The large-n limit of superconformal field theories and supergravity,” International journal of theoretical physics
1999
Cited alongside, same era.
J. Maldacena, “Non-gaussian features of primordial fluctuations in single field inflationary models,” Journal of High Energy Physics
2003
Cited alongside, same era.
F. F. Gautason, L. Schneiderbauer, W. Sybesma, and L. Thorlacius, “Page Curve for an Evaporating Black Hole,” JHEP
Original
2004
Cited alongside, same era.
T. Anegawa and N. Iizuka, “Notes on islands in asymptotically flat 2d dilaton black holes,” arXiv:2004.01601 [hep-th]
Original
2004
Cited alongside, same era.
K. Hashimoto, N. Iizuka, and Y. Matsuo, “Islands in Schwarzschild black holes,” JHEP
Original

Then

K. Papadodimas and S. Raju, “An infalling observer in ads/cft,” Journal of High Energy Physics
2013
Later among the works it cites.
N. Engelhardt and A. C. Wall, “Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime,” JHEP
Original
2015
Later among the works it cites.
A. Almheiri, X. Dong, and D. Harlow, “Bulk locality and quantum error correction in ads/cft,” Journal of High Energy Physics
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, “The gravity dual of rényi entropy,” Nature communications
2016
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

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Reading the bibliography…

2020

Effective entropy of quantum fields coupled with gravity

Dong, Xi, Qi, Xiao-Liang, Shangnan, Zhou et al.

Understand

Entanglement entropy quantifies the amount of uncertainty of a quantum state.

For quantum fields in curved space, entanglement entropy of the quantum field theory degrees of freedom is well-defined for a fixed background geometry.
In this paper, we propose a generalization of the quantum field theory entanglement entropy by including dynamical gravity.
The generalized quantity named effective entropy, and its Renyi entropy generalizations, are defined by analytic continuation of a gravitational path integral on replica geometry with a co-dimension-$2$ brane at the boundary of region we are studying.

Built on

C.-F. Chen, G. Penington, and G. Salton, “Entanglement Wedge Reconstruction using the Petz Map,” JHEP
Original
1902
Earlier work this paper cites.
J. Maldacena, G. J. Turiaci, and Z. Yang, “Two dimensional Nearly de Sitter gravity,” arXiv:1904.01911 [hep-th]
Original
1904
Earlier work this paper cites.
G. Penington, “Entanglement Wedge Reconstruction and the Information Paradox,” arXiv:1905.08255 [hep-th]
Original
1905
Earlier work this paper cites.
C. Akers, N. Engelhardt, and D. Harlow, “Simple holographic models of black hole evaporation,” arXiv:1910.00972 [hep-th]
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,” JHEP
Original
1910
Earlier work this paper cites.
A. Almheiri, R. Mahajan, and J. Maldacena, “Islands outside the horizon,” arXiv:1910.11077 [hep-th]
Original
1910
Earlier work this paper cites.
X. Dong and D. Marolf, “One-loop universality of holographic codes,” JHEP
Original
1910
Earlier work this paper cites.
H. Z. Chen, Z. Fisher, J. Hernandez, R. C. Myers, and S.-M. Ruan, “Information Flow in Black Hole Evaporation,” JHEP
Original
1911
Earlier work this paper cites.
R. Bousso and M. Tomavsević, “Unitarity From a Smooth Horizon?,” arXiv:1911.06305 [hep-th]
Original
1911
Earlier work this paper cites.
A. Almheiri, R. Mahajan, and J. E. Santos, “Entanglement islands in higher dimensions,” arXiv:1911.09666 [hep-th]
Original
1911
Earlier work this paper cites.
G. Penington, S. H. Shenker, D. Stanford, and Z. Yang, “Replica wormholes and the black hole interior,” arXiv:1911.11977 [hep-th]
Original
1911
Earlier work this paper cites.
J. Maldacena and A. Milekhin, “SYK wormhole formation in real time,” arXiv:1912.03276 [hep-th]
Original
1912
Earlier work this paper cites.
Y. Chen, “Pulling Out the Island with Modular Flow,” JHEP
Original
1912
Earlier work this paper cites.
Cambridge university press, 1973
S. W. Hawking and G. F. R. Ellis, The large scale structure of space-time · 1973
Earlier work this paper cites.
C. Teitelboim, “Gravitation and hamiltonian structure in two spacetime dimensions,” Physics Letters B
1983
Earlier work this paper cites.
J. B. Hartle and S. W. Hawking, “Wave function of the universe,” Phys. Rev. D
1983
Earlier work this paper cites.
R. Jackiw, “Lower dimensional gravity,” Nuclear Physics B
1985
Earlier work this paper cites.
D. N. Page, “Density matrix of the universe,” Phys. Rev. D
1986
Earlier work this paper cites.
S. Hawking, “The Density Matrix of the Universe,” Phys. Scripta T
1987
Earlier work this paper cites.

Similar

J. Maldacena, “The large-n limit of superconformal field theories and supergravity,” International journal of theoretical physics
1999
Cited alongside, same era.
J. Maldacena, “Non-gaussian features of primordial fluctuations in single field inflationary models,” Journal of High Energy Physics
2003
Cited alongside, same era.
F. F. Gautason, L. Schneiderbauer, W. Sybesma, and L. Thorlacius, “Page Curve for an Evaporating Black Hole,” JHEP
Original
2004
Cited alongside, same era.
T. Anegawa and N. Iizuka, “Notes on islands in asymptotically flat 2d dilaton black holes,” arXiv:2004.01601 [hep-th]
Original
2004
Cited alongside, same era.
K. Hashimoto, N. Iizuka, and Y. Matsuo, “Islands in Schwarzschild black holes,” JHEP
Original

Then

K. Papadodimas and S. Raju, “An infalling observer in ads/cft,” Journal of High Energy Physics
2013
Later among the works it cites.
N. Engelhardt and A. C. Wall, “Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime,” JHEP
Original
2015
Later among the works it cites.
A. Almheiri, X. Dong, and D. Harlow, “Bulk locality and quantum error correction in ads/cft,” Journal of High Energy Physics
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, “The gravity dual of rényi entropy,” Nature communications
2016
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2004

Cited alongside, same era.

T. Hartman, E. Shaghoulian, and A. Strominger, “Islands in Asymptotically Flat 2D Gravity,” arXiv:2004.13857 [hep-th]

Original

2004

Cited alongside, same era.

G. T. Horowitz and J. Maldacena, “The black hole final state,” Journal of High Energy Physics

2004

Cited alongside, same era.

S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from the anti–de sitter space/conformal field theory correspondence,” Physical review letters

2006

Cited alongside, same era.

H. F. Jia and M. Rangamani, “Petz reconstruction in random tensor networks,” arXiv:2006.12601 [hep-th]

Original

2006

Cited alongside, same era.

T. Anous, J. Kruthoff, and R. Mahajan, “Density matrices in quantum gravity,” arXiv:2006.17000 [hep-th]

Original

2006

Cited alongside, same era.

A. Gilyén, S. Lloyd, I. Marvian, Y. Quek, and M. M. Wilde, “Quantum algorithm for Petz recovery channels and pretty good measurements,” arXiv:2006.16924 [quant-ph]

Original

2006

Cited alongside, same era.

V. E. Hubeny, M. Rangamani, and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP

Original

2007

Cited alongside, same era.

D. L. Jafferis, A. Lewkowycz, J. Maldacena, and S. J. Suh, “Relative entropy equals bulk relative entropy,” Journal of High Energy Physics

2016