Tracking the Relaxation of Disordered Interacting Systems under an Interaction Quench

Disorder is known to play a nontrivial role in the non-equilibrium dynamics of many-particle systems. We use the recently developed non-equilibrium DMFT+CPA formalism[1] to characterize the relaxation of disordered interacting systems described by the Anderson-Hubbard model under an interaction quench. Using this effective-medium approach, we calculate, for different interaction quenches and disorder strengths, the distribution functions as the system evolves in time. This allows us to characterize the effective temperature after the quench and analyze the effects of the interplay between disorder and the Coulomb interaction on the relaxation. We find that disorder attenuates the heating of the system across the interaction quench.

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