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Title: On entanglement spreading in chaotic systems

Abstract

We discuss the time dependence of subsystem entropies in interacting quantum systems. As a model for the time dependence, we suggest that the entropy is as large as possible given two constraints: one follows from the existence of an emergent light cone, and the other is a conjecture associated to the ''entanglement velocity'' v E. We compare this model to new holographic and spin chain computations, and to an operator growth picture. Finally, we introduce a second way of computing the emergent light cone speed in holographic theories that provides a boundary dynamics explanation for a special case of entanglement wedge subregion duality in AdS/CFT.

Authors:
 [1];  [2]
  1. Princeton Univ., Princeton, NJ (United States). Princeton Center for Theoretical Science
  2. Princeton Univ., Princeton, NJ (United States). Inst. for Advanced Study
Publication Date:
Research Org.:
Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1393564
Grant/Contract Number:  
SC0016244
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT)

Citation Formats

Mezei, Márk, and Stanford, Douglas. On entanglement spreading in chaotic systems. United States: N. p., 2017. Web. doi:10.1007/JHEP05(2017)065.
Mezei, Márk, & Stanford, Douglas. On entanglement spreading in chaotic systems. United States. doi:10.1007/JHEP05(2017)065.
Mezei, Márk, and Stanford, Douglas. Thu . "On entanglement spreading in chaotic systems". United States. doi:10.1007/JHEP05(2017)065. https://www.osti.gov/servlets/purl/1393564.
@article{osti_1393564,
title = {On entanglement spreading in chaotic systems},
author = {Mezei, Márk and Stanford, Douglas},
abstractNote = {We discuss the time dependence of subsystem entropies in interacting quantum systems. As a model for the time dependence, we suggest that the entropy is as large as possible given two constraints: one follows from the existence of an emergent light cone, and the other is a conjecture associated to the ''entanglement velocity'' vE. We compare this model to new holographic and spin chain computations, and to an operator growth picture. Finally, we introduce a second way of computing the emergent light cone speed in holographic theories that provides a boundary dynamics explanation for a special case of entanglement wedge subregion duality in AdS/CFT.},
doi = {10.1007/JHEP05(2017)065},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2017,
place = {United States},
year = {Thu May 11 00:00:00 EDT 2017},
month = {Thu May 11 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 11 works
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