Dynamical Singularities of Glassy Systems in a Quantum Quench

TL;DR

This paper investigates the dynamical behavior of glassy systems under quantum quenches, revealing a freezing transition linked to partition-function zeros and contrasting dynamical chaos with static spin-glass phases.

Contribution

It introduces a novel analysis of quantum quench dynamics in glassy systems using the random energy model and identifies a dynamical freezing transition.

Findings

Identification of a freezing transition at a critical time

Connection between dynamical behavior and partition-function zeros

Contrast between dynamical chaos and static spin-glass phases

Abstract

We present a prototype of behavior of glassy systems driven by quantum dynamics in a quenching protocol by analyzing the random energy model in a transverse field. We calculate several types of dynamical quantum amplitude and find a freezing transition at some critical time. The behavior is understood by the partition-function zeros in the complex temperature plane. We discuss the properties of the freezing phase as a dynamical chaotic phase, which are contrasted to those of the spin-glass phase in the static system.