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Collective excitations of a trapped degenerate Fermi gas | M. Amoruso
; I. Meccoli
; A. Minguzzi
; M. P. Tosi
; | Date: |
23 Jul 1999 | Journal: | Eur. Phys. J. D vol. 7, p. 441 (1999) | Subject: | Statistical Mechanics | cond-mat.stat-mech | Affiliation: | SNS, Pisa, Italy | Abstract: | 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. | Source: | arXiv, cond-mat/9907370 | Services: | Forum | Review | PDF | Favorites |
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