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Title: Scrambling time from local perturbations of the eternal BTZ black hole
Authors: Caputa, Pawel
Simón, Joan
Štikonas, Andrius  KAKEN_name
Takayanagi, Tadashi  kyouindb  KAKEN_id
Watanabe, Kento
Author's alias: 高柳, 匡
Keywords: AdS-CFT Correspondence
Conformal Field Models in String Theory
Black Holes
Holography and condensed matter physics (AdS/CMT)
Issue Date: Aug-2015
Publisher: Springer Berlin Heidelberg
Journal title: Journal of High Energy Physics
Volume: 2015
Thesis number: 011
Abstract: We compute the mutual information between finite intervals in two non-compact 2d CFTs in the thermofield double formulation after one of them has been locally perturbed by a primary operator at some time t<inf>ω</inf> in the large c limit. We determine the time scale, called the scrambling time, at which the mutual information vanishes and the original entanglement between the thermofield double gets destroyed by the perturbation. We provide a holographic description in terms of a free falling particle in the eternal BTZ black hole that exactly matches our CFT calculations. Our results hold for any time t<inf>ω</inf>. In particular, when the latter is large, they reproduce the bulk shock-wave propagation along the BTZ horizon description.
Rights: © 2015, The Author(s). 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.
JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
URI: http://hdl.handle.net/2433/210381
DOI(Published Version): 10.1007/JHEP08(2015)011
Appears in Collections:Journal Articles

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