Thermalization and entanglement following a non-relativistic holographic quench

TL;DR

This paper models thermalization after a quench near a quantum critical point using a Lifshitz holographic setup, analyzing entanglement and two-point functions to understand thermalization dynamics and rates.

Contribution

It extends holographic thermalization models to Lifshitz spacetimes with non-trivial dynamical critical exponents, providing new analytic bounds on thermalization rates.

Findings

Thermalization exhibits horizon-like behavior similar to conformal cases.

Analytic upper bounds for thermalization rates of non-local observables.

Propagation of thermalization follows a heuristic 'horizon' pattern.

Abstract

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.