During this M2 internship, we propose to study theoretically and numerically the dynamics of Bose gases subjected to both an oscillating driving force and a spatially disordered potential. This scenario, recently realized experimentally, gives rise to an original mechanism of sub-diffusion in energy space, whose quantitative description for realistic models of disorder remains to establish. This is the task that will be accomplished during this internship. More generally, this internship will be an opportunity to become familiar with the modern research fields of non-equilibrium quantum physics and ultracold Bose gases.