Disorder induced topology in quench dynamics*

We study the topology of quench dynamics in strongly-disordered one dimensional systems. We find the nontrivial topology of the post-quench state emerges above a finite disorder strength and survives in a certain range. This disorder-induced topological phase is confirmed by the entanglement-spectrum crossings and Berry phase flow. Furthermore, the dynamical Chern number is shown to be quantized with negligible small fluctuations. This disorder-induced topological phase in quench dynamics is reminiscent of the topological Anderson insulating phase in the equilibrium systems. Our work would inspire the investigation of the role of disorder in quench dynamics.