A Disordered Interacting System under Interaction Quenches: A Nonequilibrium DMFT+CPA Perspective

We present a nonequilibrium study of the relaxation and thermalization processes in a disordered interacting system, namely the Anderson-Hubbard model, under various interaction quench protocols. Utilizing our recently developed nonequilibrium DMFT+CPA embedding scheme, which combines dynamical mean field theory (DMFT) with the coherent potential approximation (CPA), we explore the complex interplay between different types of disorder in the system. In particular, we focus on the effects of the disorder distributions—box, binary, and Gaussian—on the system's dynamics. We compute the time evolution of distribution functions and track the energy evolution as the system undergoes interaction quenching, providing insight into the role of disorder in the relaxation processes of interacting quantum systems.