Trap anharmonicity and sloshing mode of a Fermi gas

Abstract

For a gas trapped in a harmonic potential, the sloshing (or Kohn) mode is undamped and its frequency coincides with the trap frequency, independently of the statistics, interaction and temperature of the gas. However, experimental trap potentials have usually Gaussian shape and anharmonicity effects appear as the temperature and, in the case of Fermions, the filling of the trap are increased. We study the sloshing mode of a degenerate Fermi gas in an anharmonic trap within the Boltzmann equation, including in-medium effects in both the transport and collision terms. The calculated frequency shifts and damping rates of the sloshing mode due to the trap anharmonicity are in satisfactory agreement with the available experimental data. We also discuss higher-order dipole, octupole, and bending modes and show that the damping of the sloshing mode is caused by its coupling to these modes.

arXiv comment10 pages; v2: comparison with damping data added, minor extensions and corrections

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• Hydrodynamic stabilization of self-organized criticality in a driven Rydberg gas
• Damping of the quadrupole mode in a two-dimensional Fermi gas
• Kinetic description of Bose-Einstein condensation with test particle simulations
• Thermalization, condensate growth, and defect formation in an out-of-equilibrium Bose gas
• Kinetic approach to a relativistic BEC with inelastic processes
• Effects of interaction on field-induced resonances in confined Fermi liquid
• Collective modes of an imbalanced unitary Fermi gas
• Calorimetry of a harmonically trapped Bose gas
• Decay of the Kohn mode in hydrodynamic regime
• Boltzmann equation with double-well potentials
• Thermalization of dipole oscillations in confined systems by rare collisions