Direct Simulation Monte Carlo Method for Cold Atom Dynamics: Boltzmann Equation in the Quantum Collision Regime

In this thesis we develop a direct simulation Monte Carlo (DSMC) method for simulating highly nonequilibrium dynamics of nondegenerate ultra cold gases. We show that our method can simulate the high-energy collision of two thermal clouds in the regime observed in experiments [Thomas et al. Phys. Rev. Lett. 93, 173201 (2004)], which requires the inclusion of beyond s-wave scattering. We also consider the long-time dynamics of this system, demonstrating that this would be a practical experimental scenario for testing the Boltzmann equation and studying rethermalization. A quantum DSMC algorithm is also discussed