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Scrambling time from local perturbations of the eternal BTZ black hole
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stockholm univ.
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2015 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 8, 011Article in journal (Refereed) Published
Abstract [en]

We compute the mutual information between finite intervals in two noncompact 2d CFTs in the thermofield double formulation after one of them has been locally perturbed by a primary operator at some time t(omega) 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 tw. In particular, when the latter is large, they reproduce the bulk shock-wave propagation along the BTZ horizon description.

Place, publisher, year, edition, pages
Springer, 2015. no 8, 011
Keyword [en]
AdS-CFT Correspondence, Conformal Field Models in String Theory, Black Holes, Holography and condensed matter physics (AdS/CMT)
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Other Physics Topics
URN: urn:nbn:se:kth:diva-176990DOI: 10.1007/JEPH08(2015)011ISI: 000363515500001ScopusID: 2-s2.0-84938693380OAI: diva2:871820
Swedish Research Council, 2013-4329

QC 20151117

Available from: 2015-11-17 Created: 2015-11-13 Last updated: 2015-11-17Bibliographically approved

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Caputa, Pawel
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