Nonequilibrium Dynamics Of Correlated Disordered Systems, An Effective Medium Approach

Although most studies of strongly correlated systems away from equilibrium have focussed on clean systems, it is well known that disorder can affect these dynamics in various nontrivial ways. In this talk, we discuss our recently introduced solution for the nonequilibrium dynamics of an interacting disordered system[1]. This approach adapts the combination of the equilibrium dynamical mean field theory (DMFT) and the equilibrium coherent potential approximation (CPA) methods to the nonequilibrium many-body formalism, for the dynamics of interacting disordered systems away from equilibrium. The time domain solution can be used to obtain the equilibrium density of states of the disordered interacting system described by the Anderson-Hubbard model, bypassing the necessity for the cumbersome analytical continuation process. We demonstrate the application of the nonequilibrium solution to the interaction quench problem for an isolated disordered system. Here, the interaction is abruptly changed from zero to another constant (finite) value at which it is subsequently kept. We observe, via the time-dependence of different physical observables, the effect of disorder on the relaxation of the system as a function of final interaction strength. This real-time characterization has the potential to shed new light on the fundamental role of disorder in the nonequilibrium dynamics of interacting quantum systems.

[1.] E. Dohner, H. Terletska, K.-M. Tam, J. Moreno, H. F. Fotso, arXiv:2111.11643 (2021).