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29 March 2024
 
  » arxiv » cond-mat/9907370

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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
AffiliationSNS, Pisa, Italy
AbstractWe 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
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