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Physical Review D

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Thermalization and entanglement following a nonrelativistic holographic quench

Ville Keränen^1,2,*, Esko Keski-Vakkuri^3,4,5,†, and Larus Thorlacius^1,2,‡

¹Nordita, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden
²University of Iceland, Science Institute, Dunhaga 3, IS-107 Reykjavik, Iceland
³Helsinki Institute of Physics P.O.Box 64, FIN-00014 University of Helsinki, Finland
⁴Department of Physics, P.O.Box 64, FIN-00014, University of Helsinki, Finland
⁵Department of Physics and Astronomy, Uppsala University, SE-75108 Uppsala, Sweden

^*vkeranen@nordita.org
^†Esko.Keski-Vakkuri@helsinki.fi
^‡larus@nordita.org

Phys. Rev. D 85, 026005 – Published 18 January, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.026005

Abstract

We develop a holographic model for thermalization following a quench near a quantum critical point with nontrivial dynamical critical exponent. The anti-de Sitter Vaidya null collapse geometry is generalized to asymptotically Lifshitz spacetime. Nonlocal observables such as two-point functions and entanglement entropy in this background then provide information about the length and time scales relevant to thermalization. The propagation of thermalization exhibits similar “horizon” behavior as has been seen previously in the conformal case and we give a heuristic argument for why it also appears here. Finally, analytic upper bounds are obtained for the thermalization rates of the nonlocal observables.

Article Text

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