Nonequilibrium dynamics of correlated quantum systems in the presence of disorder

The interplay of interaction and disorder gives rise in equilibrium to a vast array of intriguing properties and has thus rightfully received a great deal of attention. Away from equilibrium however, the transient dynamics of many-particle systems that feature both interaction and disorder is rather challenging despite this significant interest. In this talk, we introduce our recently developed nonequilibrium DMFT+CPA embedding scheme, that combines both the dynamical mean field theory (DMFT) and the coherent potential approximation (CPA) nonequilibrium extensions, to characterize the dynamics of a disordered interacting system described by the Anderson-Hubbard model under a time-dependent interaction [1]. We consider various types of disorder and analyze the thermalization of the system in particular under an interaction quench. Our studies show that disorder can tune the final temperature of the system across a broad range of values depending on the interaction strength [2].

[1] Eric Dohner, Hanna Terletska, Ka-Ming Tam, Juana Moreno, Herbert F. Fotso, "Nonequilibrium DMFT+CPA for Correlated Disordered Systems", Phys. Rev. B 106 195156 (2023).

[2] Eric Dohner, Hanna Terletska, Herbert F. Fotso, "Thermalization of a Disordered Interacting System under an Interaction Quench", Phys. Rev. B 108, 144202 (2023).