Collective Modes of Trapped Fermi Gases in the Normal Phase

Details Collective Modes of Trapped Fermi Gases in the Normal Phase Collective Modes of Trapped Fermi Gases in the Normal Phase

2000-12-19

arxiv.org/abs/cond-mat/0012364v1

Phys. Rev. A, Vol. 63, 043408

Physics

Condensed Matter

6 pages, 4 figures. To appear in Phys. Rev.A

Scientific paper

10.1103/PhysRevA.63.043408

We consider the collective mode spectrum of a normal Fermi gas in a spherical harmonic trap. Using a self-consistent random-phase-approximation, we systematically examine the effects of the two-body interactions on the modes of various symmetries. For weak coupling where the spectrum is shifted very little away from the ideal gas case, a sum-rule approach is shown to work well. For stronger coupling, the interplay between the single particle and the collective excitations causes effects such as mode splitting and Landau damping. A finite low frequency response present at stronger coupling is predicted for the quadrupole mode. Finally, we briefly discuss the effect of a finite temperature on the spectrum and the excitation of higher collective modes.

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