Collective excitations of a trapped degenerate Fermi gas

Details Collective excitations of a trapped degenerate Fermi gas Collective excitations of a trapped degenerate Fermi gas

1999-07-23

arxiv.org/abs/cond-mat/9907370v1

Eur. Phys. J. D vol. 7, p. 441 (1999)

Physics

Condensed Matter

Statistical Mechanics

14 pages, no figures, accepted for publication in Eur.Phys.Jour. D

Scientific paper

10.1007/s100530050588

We evaluate the small-amplitude excitations of a spin-polarized vapour of Fermi atoms confined inside a harmonic trap. The dispersion law $\omega=\omega_{f}[l+4n(n+l+2)/3]^{1/2}$ is obtained for the vapour in the collisional regime inside a spherical trap of frequency $\omega_{f}$, with $n$ the number of radial nodes and $l$ the orbital angular momentum. The low-energy excitations are also treated in the case of an axially symmetric harmonic confinement. The collisionless regime is discussed with main reference to a Landau-Boltzmann equation for the Wigner distribution function: this equation is solved within a variational approach allowing an account for non-linearities. A comparative discussion of the eigenmodes of oscillation for confined Fermi and Bose vapours is presented in an Appendix.

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