Boltzmann equation simulation for a trapped Fermi gas of atoms

Abstract

The dynamics of an interacting Fermi gas of atoms at sufficiently high temperatures can be efficiently studied via a numerical simulation of the Boltzmann equation. In this work we describe in detail the setup we used recently to study the oscillations of two spin-polarised fermionic clouds in a trap. We focus here on the evaluation of interparticle interactions. We compare different ways of choosing the phase space coordinates of a pair of atoms after a successful collision and demonstrate that the exact microscopic setup has no influence on the macroscopic outcome.

References in corpus (9)

• Universal Quantum Viscosity in a Unitary Fermi Gas
• Universal Spin Transport in a Strongly Interacting Fermi Gas
• Collective oscillations of a classical gas confined in harmonic traps
• Hydrodynamic Expansion of a Strongly Interacting Fermi-Fermi Mixture
• Modelling Bose-condensed gases at finite temperatures with $N$-body simulations
• Spin Transport in Polaronic and Superfluid Fermi Gases
• Numerical solution of the Boltzmann equation for the collective modes of trapped Fermi gases
• Collision of two spin polarized fermionic clouds
• Direct Simulation Monte Carlo method for cold atom dynamics: classical Boltzmann equation in the quantum collision regime

Cited by in corpus (13)

• Soliton gases and generalized hydrodynamics
• Quantum mechanical limitations to spin diffusion in the unitary Fermi gas
• Observation of quantum-limited spin transport in strongly interacting two-dimensional Fermi gases
• Observation of the Leggett-Rice effect in a unitary Fermi gas
• Collective modes of a two-dimensional spin-1/2 Fermi gas in a harmonic trap
• Numerical solution of the Boltzmann equation for trapped Fermi gases with in-medium effects
• Nonequilibrium dynamics of an ultracold dipolar gas
• Anisotropic collisions of dipolar Bose-Einstein condensates in the universal regime
• Spin Drag of a Fermi Gas in a Harmonic Trap
• Collisional dynamics of polaronic clouds immersed in a Fermi sea
• Shock waves in colliding Fermi gases at finite temperature
• Dipole-Mode Spectrum and Hydrodynamic Crossover in a Resonantly Interacting Two-Species Fermion Mixture
• Quasi-thermalization of collisionless particles in quadrupole potentials