Disorder-induced dynamical Griffiths singularities after certain quantum quenches

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.

arXiv comment(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

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• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
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