Anomalous correlation-induced dynamical phase transitions

TL;DR

This paper introduces a new type of dynamical quantum phase transition caused by abrupt changes in spatial correlations of disorder potentials, revealing novel nonequilibrium phenomena in disordered quantum systems.

Contribution

It establishes a paradigm of correlation-driven dynamical phase transitions and analyzes their physical origin and signatures in various disordered quantum models.

Findings

Identification of anomalous dynamical phase transitions due to infinite disorder correlation.

Observation of dynamical phase transitions between pure and random Hamiltonians.

Detection of delocalization phase transition signatures in correlated Anderson models.

Abstract

The nonanalyticity of the Loschmidt echo at critical times in quantum quenched systems is termed as the dynamical quantum phase transition, extending the notion of quantum criticality to a nonequilibrium scenario. In this paper, we establish a new paradigm of dynamical phase transitions driven by a sudden change in the internal spatial correlations of the disorder potential in a low-dimensional disordered system. The quench dynamics between prequenched pure and postquenched random system Hamiltonian reveals an anomalous quantum dynamical quantum phase transition triggered by an infinite disorder correlation in the modulation potential. The physical origin of the anomalous phenomenon is associated with the overlap between the two distinctly different extended states. Furthermore, we explore the quench dynamics between the prequenched random and postquenched pure system Hamiltonian. Interestingly, the quenched system undergoes dynamical quantum phase transitions for the prequench white-noise potential in the thermodynamic limit. In addition, the quench dynamics also shows a clear signature of the delocalization phase transition in the correlated Anderson model.