On entanglement spreading in chaotic systems
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]}
 Princeton Univ., Princeton, NJ (United States). Princeton Center for Theoretical Science
 Princeton Univ., Princeton, NJ (United States). Inst. for Advanced Study
 Publication Date:
 Grant/Contract Number:
 SC0016244
 Type:
 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 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Princeton Univ., NJ (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; AdSCFT Correspondence; Holography and condensed matter physics (AdS/CMT)
 OSTI Identifier:
 1393564
Mezei, Márk, and Stanford, Douglas. On entanglement spreading in chaotic systems. United States: N. p.,
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. 2017.
"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 = {2017},
month = {5}
}