Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-02-19
Phys. Rev. A 64, 023421 (2001)
Physics
Condensed Matter
Statistical Mechanics
11 pages, 7 figures
Scientific paper
10.1103/PhysRevA.64.023421
We evaluate the scattering functions of a gas of spin-polarized, non-interacting fermions confined in a quasi-onedimensional harmonic trap at zero temperature. The main focus is on the inelastic scattering spectrum and on the angular distribution of scattered light from a mesoscopic atomic cloud as probes of its discrete quantum levels and of its shell structure in this restricted geometry. The dynamic structure factor is calculated and compared with the results of a local-density approximation exploiting the spectrum of a one-dimensional homogeneous Fermi gas. The elastic and inelastic contributions to the static structure factor are separately evaluated: the inelastic term becomes dominant as the momentum transfer increases, masking a small peak at twice the Fermi momentum in the elastic term but still reflecting the discrete quantum levels of the cloud. A fast and accurate numerical method is developed to evaluate the full pair distribution function for mesoscopic inhomogeneous clouds.
Minguzzi Anna
Tosi Mario P.
Vignolo Patrizia
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