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 Neum...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2021
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| Online Access: | https://hdl.handle.net/1721.1/131595 |
| _version_ | 1826190504806580224 |
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| author | Akers, Chris Engelhardt, Netta Penington, Geoff Usatyuk, Mykhaylo |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Akers, Chris Engelhardt, Netta Penington, Geoff Usatyuk, Mykhaylo |
| author_sort | Akers, Chris |
| collection | MIT |
| 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 GNħ, 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. |
| first_indexed | 2024-09-23T08:41:16Z |
| format | Article |
| id | mit-1721.1/131595 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:41:16Z |
| publishDate | 2021 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1315952023-12-13T21:07:32Z Quantum maximin surfaces Akers, Chris Engelhardt, Netta Penington, Geoff Usatyuk, Mykhaylo Massachusetts Institute of Technology. Center for Theoretical Physics 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 GNħ, 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. 2021-09-20T17:28:53Z 2021-09-20T17:28:53Z 2020-08-27 2020-08-28T03:51:41Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131595 Journal of High Energy Physics. 2020 Aug 27;2020(8):140 PUBLISHER_CC en https://doi.org/10.1007/JHEP08(2020)140 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Akers, Chris Engelhardt, Netta Penington, Geoff Usatyuk, Mykhaylo Quantum maximin surfaces |
| title | Quantum maximin surfaces |
| title_full | Quantum maximin surfaces |
| title_fullStr | Quantum maximin surfaces |
| title_full_unstemmed | Quantum maximin surfaces |
| title_short | Quantum maximin surfaces |
| title_sort | quantum maximin surfaces |
| url | https://hdl.handle.net/1721.1/131595 |
| work_keys_str_mv | AT akerschris quantummaximinsurfaces AT engelhardtnetta quantummaximinsurfaces AT peningtongeoff quantummaximinsurfaces AT usatyukmykhaylo quantummaximinsurfaces |