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Holographic entanglement and causal information in coherent states

Gentle, Simon A; Rangamani, Mukund

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Authors

Simon A Gentle

Mukund Rangamani



Abstract

Scalar solitons in global AdS4 are holographically dual to coherent states carrying a non-trivial condensate of a scalar operator. We study the holographic information content of these states, focusing on a particular spatial region, by examining the entanglement entropy and causal holographic information. We show generically that whenever the dimension of the condensed operator is sufficiently low (characterized by the double-trace operator becoming relevant), such coherent states have lower entanglement and causal holographic information than the vacuum state of the system, despite having greater energy. We also use these geometries to illustrate the fact that causal wedges associated with a simply-connected boundary region can have non-trivial topology even in causally trivial spacetimes.

Citation

Gentle, S. A., & Rangamani, M. (2014). Holographic entanglement and causal information in coherent states. Journal of High Energy Physics, 2014(1), https://doi.org/10.1007/jhep01%282014%29120

Journal Article Type Article
Publication Date Jan 22, 2014
Deposit Date Mar 29, 2014
Publicly Available Date Mar 29, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2014
Issue 1
DOI https://doi.org/10.1007/jhep01%282014%29120
Keywords Gauge-gravity correspondence, AdS-CFT Correspondence, Holography and condensed matter physics (AdS/CMT).

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is distributed under the terms of the Creative Commons
Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in
any medium, provided the original author(s) and source are credited.




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