Holographic entanglement and causal information in coherent states

Gentle, Simon A; Rangamani, Mukund

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 31, 2014
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• 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).
• Public URL: https://durham-repository.worktribe.com/output/1436812