  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.
