Collective oscillations of an interacting trapped Fermi gas

Abstract

We calculate the effects of two-body interactions on the low frequency oscillations of a normal Fermi gas confined in a harmonic trap. The mean field contribution to the collective frequencies is evaluated in the collisionless regime using a sum rule approach. We also discuss the transition between the collisionless and hydrodynamic regime with special emphasis to the spin dipole mode in which two atomic clouds occupying different spin states oscillate in opposite phase. The spin dipole mode is predicted to be overdamped in the hydrodynamic regime. The relaxation time is calculated as a function of temperature and the effects of Fermi statistics are explicitly pointed out.

4 pages, 1 figure included

References in corpus (7)

• Theory of Bose-Einstein condensation in trapped gases
• Trapped Fermi gases
• The Superfluid State of Atomic Li6 in a Magnetic Trap
• Collective oscillations of a classical gas confined in harmonic traps
• Interacting Fermi gas in a Harmonic Trap
• Temperature-dependent density profiles of trapped boson-fermion mixtures
• Collisional relaxation in a fermionic gas

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