In the first part of this talk, I will discuss the application of non-equilibrium dynamics to a system of 1D bosons in an electric field which has been experimentally realized recently with emphasis on possible experimental signatures of dynamics in this system. In the second part, I shall briefly present a perturbative renormalization group approach to driven quantum field theories, show that a drive may lead to realization of non-gaussian, i.e. interaction driven, regimes for such systems, and discuss the implications of this result for dynamical phase transitions.