Mini-symposium C13 Many body quantum optics: Merging condensed matter with AMO physics

Time-dependent matrix product states (time-dependent DMRG) has developed into a very powerful tool for the simulation of the evolution of strongly correlated quantum systems far from equilibrium. However, its scope is limited by the effective restriction to onedimensional systems as well as to relatively short times due to dynamical entanglement growth. In this talk, I want to show how a combination of time-dependent matrix product states combined with non-equilibrium dynamical mean-field theory (DMFT) can yield the dynamics of strongly correlated quantum systems also in the highdimensional limit, while being a very good approximation in three dimensions, for much longer times than were previously feasible in the context of non-equilibrium DMFT.