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Shell structure in the density profiles for noninteracting fermions in anisotropic harmonic confinement

Patrizia Vignolo·Anna Minguzzi
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Abstract

We develop a Green's function method to evaluate the exact equilibrium particle-density profiles of noninteracting Fermi gases in external harmonic confinement in any spatial dimension and for arbitrary trap anisotropy. While in a spherically symmetric configuration the shell effects are negligible in the case of large number of particles, we find that for very anisotropic traps the quantum effects due to single-level occupancy and the deviations from the Thomas-Fermi approximation are visible also for mesoscopic clouds.

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Patrizia Vignolo, Anna Minguzzi. 2002-11-06. Shell structure in the density profiles for noninteracting fermions in anisotropic harmonic confinement. https://doi.org/10.1103/physreva.67.053601

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