Quantum quenches of holographic plasmas

TL;DR

This paper uses holographic methods to analyze quantum quenches in finite-temperature plasmas, revealing universal scaling behaviors and relaxation dynamics dependent on quench speed and operator dimension.

Contribution

It introduces a holographic framework to study quantum quenches with arbitrary operator dimensions and characterizes universal scaling laws in the system's response.

Findings

Universal scaling behaviors in observables during quenches.

Relaxation time governed by thermal timescale in fast quenches.

Response depends on the ratio of quench timescale to initial temperature.

Abstract

We employ holographic techniques to study quantum quenches at finite temperature, where the quenches involve varying the coupling of the boundary theory to a relevant operator with an arbitrary conformal dimension $2\leq\D\leq4$. The evolution of the system is studied by evaluating the expectation value of the quenched operator and the stress tensor throughout the process. The time dependence of the new coupling is characterized by a fixed timescale and the response of the observables depends on the ratio of the this timescale to the initial temperature. The observables exhibit universal scaling behaviours when the transitions are either fast or slow, i.e. when this ratio is very small or very large. The scaling exponents are smooth functions of the operator dimension. We find that in fast quenches, the relaxation time is set by the thermal timescale regardless of the operator dimension or the precise quenching rate.