Seminarium Fizyki Materii Skondensowanej

When driven out of equilibrium, isolated many-body quantum systems eventually thermalize, reaching state that can be predicted using statistical ensemble theory. This relaxation towards thermal state is with few exceptions universal. Sometimes however, the final thermalization is preceded by appearance of long-lived, metastable pre-thermal state that may be very far from typical states corresponding to thermal equilibrium.In my talk, I will analyse non-equilibrium dynamics of the system involving many quasi one-dimensional Bose gases that are coupled together with long-range interactions. Such arrays of one-dimensional tubes are realized in experimental setups. Thanks to the underlying integrability of a single tube, a Boltzmann-equation formalism used to describe the dynamics was recently developed. By studying the properties of collision integral, I will identify the emergent integrals of motion and show that the system exhibits pre-thermal behavior.