Disorder-induced dynamical Griffiths singularities after certain quantum quenches
Statistical Mechanics
2022-10-11 v2 Disordered Systems and Neural Networks
Strongly Correlated Electrons
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.
Keywords
Cite
@article{arxiv.2201.09847,
title = {Disorder-induced dynamical Griffiths singularities after certain quantum quenches},
author = {José A. Hoyos and R. F. P. Costa and J. C. Xavier},
journal= {arXiv preprint arXiv:2201.09847},
year = {2022}
}
Comments
(v1): 6+6 pages, 4+2 figures, numerics on the dimerized XX spin-1/2 chain; (v2): 5+10 pages, 3+4 figures, numerics on the transverse-field Ising chain, published version