Numerical solution of the Boltzmann equation for trapped Fermi gases with in-medium effects

Abstract

Using the test-particle method, we solve numerically the Boltzmann equation for an ultra-cold gas of trapped fermions with realistic particle number and trap geometry in the normal phase. We include a mean-field potential and in-medium modifications of the cross-section obtained within a T matrix formalism. After some tests showing the reliability of our procedure, we apply the method to realistic cases of practical interest, namely the anisotropic expansion of the cloud and the radial quadrupole mode oscillation. Our results are in good agreement with experimental data. Although the in-medium effects significantly increase the collision rate, we find that they have only a moderate effect on the anisotropic expansion and on frequency and damping rate of the quadrupole mode.

arXiv comment11 pages, v2: minor corrections

References in corpus (28)

• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
• Universal Quantum Viscosity in a Unitary Fermi Gas
• Universal Spin Transport in a Strongly Interacting Fermi Gas
• Expansion of an interacting Fermi gas
• Viscous relaxation and collective oscillations in a trapped Fermi gas near the unitarity limit
• Observation of shock waves in a strongly interacting Fermi gas
• Collective oscillations of a Fermi gas in the unitarity limit: Temperature effects and the role of pair correlations
• Finite-Temperature Collective Dynamics of a Fermi Gas in the BEC-BCS Crossover
• Viscosity and Thermal Relaxation for a resonantly interacting Fermi gas
• Dynamics of a classical gas including dissipative and mean field effects
• Dynamics of a strongly interacting Fermi gas: the radial quadrupole mode
• Observation of conformal symmetry breaking and scale invariance in expanding Fermi gases
• Anomalous minimum in the shear viscosity of a Fermi gas
• Frequency and damping of the Scissors Mode of a Fermi gas
• Pygmy resonance and torus mode within Vlasov dynamics
• Numerical solution of the Boltzmann equation for the collective modes of trapped Fermi gases
• Direct Simulation Monte Carlo method for cold atom dynamics: classical Boltzmann equation in the quantum collision regime
• Collision of two spin polarized fermionic clouds
• Dissipative fluid dynamics for the dilute Fermi gas at unitarity: Free expansion and rotation
• Collective modes of trapped Fermi gases with in-medium interaction
• Dynamics of trapped two-component Fermi gas: temperature dependence of the transition from collisionless to collisional regime
• Polarized Fermi gases at finite temperature in the BCS-BEC crossover
• Role of fourth-order phase-space moments in collective modes of trapped Fermi gases
• Boltzmann equation simulation for a trapped Fermi gas of atoms
• Trap anharmonicity and sloshing mode of a Fermi gas
• Transition to hydrodynamics in colliding fermion clouds
• Medium effects and the shear viscosity of the dilute Fermi gas away from the conformal limit

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• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Open Heavy Flavor in QCD Matter and in Nuclear Collisions
• Dissipative fluid dynamics for the dilute Fermi gas at unitarity: Anisotropic fluid dynamics
• Model-independent determination of the shear viscosity of a trapped unitary Fermi gas: Application to high temperature data
• Determination of the density and temperature dependence of the shear viscosity of a unitary Fermi gas based on hydrodynamic flow
• Lattice Boltzmann simulations of a two-dimensional Fermi gas at unitarity
• Perfect-fluid behavior of a dilute Fermi gas near unitary
• Anisotropic collisions of dipolar Bose-Einstein condensates in the universal regime
• Time-of-flight expansion of trapped dipolar Fermi gases: From the collisionless to the hydrodynamic regime
• A generalized Theory of Diffusion based on Kinetic Theory
• Shock waves in colliding Fermi gases at finite temperature
• Dissipative superfluid hydrodynamics for the unitary Fermi gas
• Boltzmann equation with double-well potentials