Seminars

Title: Dynamics of open quantum systems with semi-group influence matrices
 
Abstract: The simulation of dynamics in non-Markovian open quantum systems presents a challenging task if the bath is strongly coupled. A recent approach exploits the structure of temporal correlations in open systems by representing the time-discretized bath influence functional (influence matrix) as a temporal matrix product operator (MPO). I show that, in the case of a stationary bath, time-translation invariance can be exploited to enforce a uniform MPO structure, generating an effective dynamical semigroup for the local dynamics. I demonstrate the numerical utility of this approach through applications to quenches and stationary dynamics in spin-boson and Anderson impurity models. Furthermore, I discuss connections to the modern process tensor formulation of quantum dynamics.