Veronika E Hubeny
Thermalization of causal holographic information
Hubeny, Veronika E; Rangamani, Mukund; Tonni, Erik
Authors
Mukund Rangamani
Erik Tonni
Abstract
We study causal wedges associated with a given sub-region in the boundary of asymptotically AdS spacetimes. Part of our motivation is to better understand the recently proposed holographic observable, causal holographic information, χ, which is given by the area of a bulk co-dimension two surface lying on the boundary of the causal wedge. It has been suggested that χ captures the basic amount of information contained in the reduced density matrix about the bulk geometry. To explore its properties further we examine its behaviour in time-dependent situations. As a simple model we focus on null dust collapse in an asymptotically AdS spacetime, modeled by the Vaidya-AdS geometry. We argue that while χ is generically quasi-telelogical in time-dependent backgrounds, for suitable choice of sub-regions in conformal field theories, the temporal evolution of χ is entirely causal. We comment on the implications of this observation and more generally on features of causal constructions and contrast our results with the behaviour of holographic entanglement entropy. Along the way we also derive the rate of early time growth and late time saturation (to the thermal value) of both χ and entanglement entropy in these backgrounds.
Citation
Hubeny, V. E., Rangamani, M., & Tonni, E. (2013). Thermalization of causal holographic information. Journal of High Energy Physics, 2013(5), Article 136. https://doi.org/10.1007/jhep05%282013%29136
Journal Article Type | Article |
---|---|
Publication Date | May 27, 2013 |
Deposit Date | Jun 6, 2013 |
Publicly Available Date | Jun 14, 2013 |
Journal | Journal of High Energy Physics |
Print ISSN | 1126-6708 |
Publisher | Scuola Internazionale Superiore di Studi Avanzati (SISSA) |
Peer Reviewed | Peer Reviewed |
Volume | 2013 |
Issue | 5 |
Article Number | 136 |
DOI | https://doi.org/10.1007/jhep05%282013%29136 |
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Copyright Statement
© SISSA 2013. Published by Springer on behalf of International School for Advanced Studies (SISSA - Trieste, Italy). The final publication is available at Springer via http://dx.doi.org/10.1007/JHEP05(2013)136.
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