Disorder-induced topology in quench dynamics

We study the effect of strong disorder on topology and entanglement in quench dynamics. Although disorder-induced topological phases have been well studied equilibrium, dynamics has not explored. In this paper, we predict a postquench states characterized by quantized dynamical Chern number crossings spectrum $(1+1)$ dimensions. The undergoes transitions from zero to unity back when increasing strength. boundaries between different numbers are determined delocalized critical points Hamiltonian with disorder. An experimental realization quantum walks is discussed.