Boltzmann equation simulation for Fermi gas dynamics

The dynamics of an interacting Fermi gas of atoms in the semi-classical regime can be efficiently studied via a numerical simulation of the Boltzmann equation. In this setup particle propagation is treated classically, but collisions between pairs of particles are evaluated accounting for the correct s-wave scattering cross section and Pauli blocking probability. The simulation gives access to long-time dynamics far from equilibrium in a variety of experimentally relevant setups, including different kinds of external potentials, driving forces and other perturbations, and for a wide range of temperatures and interactions strengths. It is possible to follow the exact trajectories of all particles and hence to extract time-resolved observables such as density or momentum profiles, collision profiles, collective modes, etc. In this talk, I will introduce the numerical setup and present applications to several physical systems.