Cumulant Dynamics of Strongly Interacting Ultracold Gases

We discuss the cumulant approach to the non-equilibrium dynamics of strongly interacting ultracold atomic gases. After a general introduction, we derive a non-Markovian, nonlinear Schrodinger equation for a Bose-Einstein condensate, and a non-Markovian Boltzmann equation for the one-body density matrix of a thermal Bose gas. We apply these equations to the dynamics of Feshbach molecule production.