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

@article{Almheiri2019TheEO,
  title={The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole},
  author={Ahmed Almheiri and Netta Engelhardt and Donald Marolf and Henry Maxfield},
  journal={Journal of High Energy Physics},
  year={2019}
}
Abstract Bulk quantum fields are often said to contribute to the generalized entropy $$ \frac{A}{4{G}_N}+{S}_{\mathrm{bulk}} $$ A 4 G N + S bulk only at O(1). Nonetheless, in the context of evaporating black holes, O(1/GN ) gradients in S bulk can arise due to large boosts, introducing a quantum extremal surface far from any classical extremal surface. We examine the effect of such bulk quantum effects on quantum extremal surfaces (QESs) and the resulting… 
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References

SHOWING 1-10 OF 73 REFERENCES
Black hole entropy is Noether charge.
  • Wald
  • Mathematics
    Physical review. D, Particles and fields
  • 1993
TLDR
The results show that the validity of the "second law" of black hole mechanics in dynamical evolution from an initially stationary black hole to a final stationary state is equivalent to the positivity of a total Noether flux, and thus may be intimately related to the positive energy properties of the theory.
Entanglement wedge reconstruction and the information paradox
When absorbing boundary conditions are used to evaporate a black hole in AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu-Takayanagi surface, at precisely the Page
On black hole entropy.
  • Jacobson, Kang, Myers
  • Mathematics, Materials Science
    Physical review. D, Particles and fields
  • 1994
TLDR
Wald's results are extended by establishing that his local geometric expression for the black hole entropy gives the same result when evaluated on an arbitrary cross section of a Killing horizon (rather than just the bifurcation surface).
Modular Hamiltonians for deformed half-spaces and the averaged null energy condition
A bstractWe study modular Hamiltonians corresponding to the vacuum state for deformed half-spaces in relativistic quantum field theories on ℝ1,d−1$$ {\mathrm{\mathbb{R}}}^{1,d-1} $$. We show that in
Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime
A bstractWe propose that holographic entanglement entropy can be calculated at arbitrary orders in the bulk Planck constant using the concept of a “quantum extremal surface”: a surface which
Holographic Quantum Error Correction and the Projected Black Hole Interior
The quantum error correction interpretation of AdS/CFT establishes a sense of fluidity to the bulk/boundary dictionary. We show how this property can be utilized to construct a dictionary for
Gapless spin-fluid ground state in a random quantum Heisenberg magnet.
  • Sachdev, Ye
  • Physics
    Physical review letters
  • 1993
TLDR
The spin-S quantum Heisenberg magnet with Gaussian-random, infinite-range exchange interactions is examined with generalizing to SU(M) symmetry and studying the large M limit to find the spin-fluid phase to be generically gapless.
Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy
The covariant holographic entropy conjecture of AdS/CFT relates the entropy of a boundary region R to the area of an extremal surface in the bulk spacetime. This extremal surface can be obtained by a
A covariant holographic entanglement entropy proposal
With an aim towards understanding the time-dependence of entanglement entropy in generic quantum field theories, we propose a covariant generalization of the holographic entanglement entropy proposal
Disrupting Entanglement of Black Holes
We study entanglement in thermofield double states of strongly coupled conformal field theories by analyzing two-sided Reissner-Nordstrom solutions in anti–de Sitter space. The central object of
...
...