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Disrupting Entanglement of Black Holes

Leichenauer, Stefan (2014) Disrupting Entanglement of Black Holes. Physical Review D, 90 (4). Art. No. 046009. ISSN 2470-0010. doi:10.1103/PhysRevD.90.046009.

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We study entanglement in thermofield double states of strongly coupled conformal field theories by analyzing two-sided Reissner-Nordström solutions in anti–de Sitter space. The central object of study is the mutual information between a pair of regions, one on each asymptotic boundary of the black hole. For large regions the mutual information is positive and for small ones it vanishes; we compute the critical length scale, which goes to infinity for extremal black holes, of the transition. We also generalize the butterfly effect of Shenker and Stanford [J. High Energy Phys. 03 (2014) 067] to a wide class of charged black holes, showing that mutual information is disrupted upon perturbing the system and waiting for a time of order logE/δE in units of the temperature. We conjecture that the parametric form of this time scale is universal.

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Additional Information:© 2014 American Physical Society. Received 6 August 2014; published 29 August 2014. I would like to thank Sean Carroll, Steve Shenker, Douglas Stanford, and Lenny Susskind for helpful comments and discussions. This research is supported by the DOE under Contract No. DE-SC0011632 and the Gordon and Betty Moore Foundation through Grant No. 776 to the Caltech Moore Center for Theoretical Cosmology and Physics, as well as a John A. McCone Postdoctoral Fellowship. I would also like to thank the Aspen Center for Physics and the participants of the New Perspectives on Thermalization conference where this work was initiated.
Group:Walter Burke Institute for Theoretical Physics, Caltech Theory, Moore Center for Theoretical Cosmology and Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Gordon and Betty Moore Foundation776
John A. McCone Postdoctoral FellowshipUNSPECIFIED
Non-Subject Keywords:high energy physics - theory
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Issue or Number:4
Classification Code:PACS: 11.25.Tq, 04.70.Dy
Record Number:CaltechAUTHORS:20140813-102938601
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:48501
Deposited By: Joy Painter
Deposited On:13 Aug 2014 19:50
Last Modified:10 Nov 2021 18:32

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