Dynamical Lifshitz-type solutions and aging phenomena
Kunihito Uzawa, Kentaroh Yoshida
TL;DR
This paper constructs time-dependent Lifshitz solutions in type IIB supergravity that model aging phenomena in condensed matter physics, highlighting their non-equilibrium dynamics and potential quantum quench mechanisms.
Contribution
It introduces dynamical Lifshitz-type solutions with aging behavior and explores their holographic relation to nonequilibrium condensed matter systems.
Findings
Solutions describe evolution from Lifshitz to AdS spacetimes
Solutions exhibit dynamical scaling symmetry with z_c=2
Mechanism for quantum quench to generate nonequilibrium states
Abstract
We consider time-dependent Lifshitz-type solutions in type IIB supergravity. The solutions describe a time evolution from Lifshitz spacetimes to AdS spaces. We argue the holographic relation of them to aging phenomena in condensed matter physics. The solutions have no time-translation invariance and possess the dynamical scaling symmetry with z_c=2. In addition, the time evolution corresponds to slow (nonexponential) dynamics from nonequilibrium states to the equilibrium. We also discuss a mechanism of quantum quench to generate nonequilibrium states.
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