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.

(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

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Probing many-body dynamics on a 51-atom quantum simulator
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Observation of Lee-Yang zeros
• Dynamical Quantum Phase Transition and Quasi Particle Excitation
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Cited by in corpus (3)

• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• Effect of long-range hopping on dynamic quantum phase transitions of an exactly solvable free-fermion model: Nonanalyticities at almost all times
• Exploring dynamical quantum phase transition from pure states to mixed states through extended Su-Schrieffer-Heeger models