Boltzmann equation simulation for Fermi gas dynamics
ORAL
Abstract
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.
*We acknowledge support from NSF under Grant No. PHY-2112738 and Grant No. PHY-2328774
–
Publication:O. Goulko, F. Chevy and C. Lobo, "Collision of two spin-polarized fermionic clouds", Phys. Rev. A 84, 051605(R) (2011) O. Goulko, F. Chevy and C. Lobo, "Boltzmann equation simulation for a trapped Fermi gas of atoms", New J. Phys. 14, 073036 (2012) O. Goulko, F. Chevy and C. Lobo, "Spin Drag of a Fermi Gas in a Harmonic Trap", Phys. Rev. Lett. 111, 190402 (2013) D. Suchet, M. Rabinovic, T. Reimann, N. Kretschmar, F. Sievers, C. Salomon, J. Lau, O. Goulko, C. Lobo, F. Chevy, "Analog simulation of Weyl particles with cold atoms", EPL, 114 (2016) 26005 J. Lau, O. Goulko, T. Reimann, D. Suchet, C. Enesa, F. Chevy, C. Lobo, "Quasithermalization of collisionless particles in quadrupole potentials", Phys. Rev. A 101, 033605 (2020)
