Quantum maximin surfaces
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...
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2020-08-01
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Online Access: | http://link.springer.com/article/10.1007/JHEP08(2020)140 |
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doaj-4822dd3f9c3d45df9f313717aca3faad2020-11-25T03:48:49ZengSpringerOpenJournal of High Energy Physics1029-84792020-08-012020814310.1007/JHEP08(2020)140Quantum maximin surfacesChris Akers0Netta Engelhardt1Geoff Penington2Mykhaylo Usatyuk3Center for Theoretical Physics, Massachusetts Institute of TechnologyCenter for Theoretical Physics, Massachusetts Institute of TechnologyStanford Institute for Theoretical Physics, Stanford UniversityCenter for Theoretical Physics and Department of Physics, University of CaliforniaAbstract 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 N 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.http://link.springer.com/article/10.1007/JHEP08(2020)140AdS-CFT CorrespondenceGauge-gravity correspondence |
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DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Chris Akers Netta Engelhardt Geoff Penington Mykhaylo Usatyuk |
spellingShingle |
Chris Akers Netta Engelhardt Geoff Penington Mykhaylo Usatyuk Quantum maximin surfaces Journal of High Energy Physics AdS-CFT Correspondence Gauge-gravity correspondence |
author_facet |
Chris Akers Netta Engelhardt Geoff Penington Mykhaylo Usatyuk |
author_sort |
Chris Akers |
title |
Quantum maximin surfaces |
title_short |
Quantum maximin surfaces |
title_full |
Quantum maximin surfaces |
title_fullStr |
Quantum maximin surfaces |
title_full_unstemmed |
Quantum maximin surfaces |
title_sort |
quantum maximin surfaces |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2020-08-01 |
description |
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 N 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. |
topic |
AdS-CFT Correspondence Gauge-gravity correspondence |
url |
http://link.springer.com/article/10.1007/JHEP08(2020)140 |
work_keys_str_mv |
AT chrisakers quantummaximinsurfaces AT nettaengelhardt quantummaximinsurfaces AT geoffpenington quantummaximinsurfaces AT mykhaylousatyuk quantummaximinsurfaces |
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1724496956568371200 |