Disorder-induced dynamical Griffiths singularities after certain quantum quenches

TL;DR

This paper shows that disordered quantum systems exhibit non-analytic behavior in their dynamical partition functions after specific quantum quenches, due to rare inhomogeneous regions, with implications for experiments and simulations.

Contribution

It introduces the concept of disorder-induced dynamical Griffiths singularities occurring after certain quantum quenches in disordered quantum systems.

Findings

Dynamical partition functions are non-analytic after specific quenches.

Rare inhomogeneous regions cause these singularities.

Quantitative analysis of singularity strength and experimental signatures.

Abstract

We demonstrate that in a class of disordered quantum systems the dynamical partition function is not an analytical function in a time window after certain quantum quenches. We related this behavior to rare and large regions with atypical inhomogeneity configurations. We also quantify the strength of the associated singularities and their signatures in experiments and numerical studies.