Thermalization and entanglement following a non-relativistic holographic quench

Details Thermalization and entanglement following a non-relativistic holographic quench Thermalization and entanglement following a non-relativistic holographic quench

2011-10-23

arxiv.org/abs/1110.5035v1

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 10 fiures

Scientific paper

We develop a holographic model for thermalization following a quench near a quantum critical point with non-trivial dynamical critical exponent. The anti-de Sitter Vaidya null collapse geometry is generalized to asymptotically Lifshitz spacetime. Non-local 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 non-local observables.

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