Collective excitations of a degenerate Fermi vapour in a magnetic trap |
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Authors: | M Amoruso I Meccoli A Minguzzi MP Tosi |
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Institution: | (1) Istituto Nazionale di Fisica della Materia and Classe di Scienze, Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy, IT |
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Abstract: | We evaluate the small-amplitude excitations of a spin-polarized vapour of Fermi atoms confined inside a harmonic trap. The
dispersion law is obtained for the vapour in the collisional regime inside a spherical trap of frequency , with n the number of radial nodes and 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 of non-linearities. A comparative discussion of
the eigenmodes of oscillation for confined Fermi and Bose vapours is presented in an Appendix.
Received 23 February 1999 and Received in final form 21 April 1999 |
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Keywords: | PACS 67 40 Db Quantum statistical theory ground state elementary excitations |
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