A Model of Dynamics Driven by Repeated Harmonic Interactions

Abstract

International audienceWe consider an exactly soluble W *-dynamical system driven by repeated harmonic interactions. Although dynamics is Hamiltonian and quasi-free, it leads in the large-time limit to relaxation of initial states to a steady state. We found explicitly the rate of the entropy production which accompanies this relaxation. Besides, we study evolution of subsystems to elucidate their eventual correlations and convergence to equilibrium states. Finally we prove a universality of dynamics driven by repeated harmonic perturbations in a short-time interaction limit