Quantum maximin surfaces
Name
Akers2020_Article_QuantumMaximinSurfaces.pdf
Description
Published version
Size
622.5 KB
Format
Adobe PDF
Checksum (MD5)
a7833dc6bcd37d9cb9f3b2614008ac67
Author(s)
Akers, Chris
Engelhardt, Netta
Penington, Geoff
Usatyuk, Mykhaylo
Date Issued
2020
Journal
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Version
Final published version
Abstract
We formulate a quantum generalization of maximin surfaces and show that a quantum maximin surface is identical to the minimal quantum extremal surface, introduced in the EW prescription. We discuss various subtleties and complications associated to a maximinimization of the bulk von Neumann entropy due to corners and unboundedness and present arguments that nonetheless a maximinimization of the UV-finite generalized entropy should be well-defined. We give the first general proof that the EW prescription satisfies entanglement wedge nesting and the strong subadditivity inequality. In addition, we apply the quantum maximin technology to prove that recently proposed generalizations of the EW prescription to nonholographic subsystems (including the so-called “quantum extremal islands”) also satisfy entanglement wedge nesting and strong subadditivity. Our results hold in the regime where backreaction of bulk quantum fields can be treated perturbatively in G ħ, but we emphasize that they are valid even when gradients of the bulk entropy are of the same order as variations in the area, a regime recently investigated in new models of black hole evaporation in AdS/CFT. N
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Terms of Use
Creative Commons Attribution 4.0 International license
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP08(2020)140
