Light scattering from a degenerate quasi-one-dimensional confined gas of noninteracting fermions

Patrizia Vignolo, Anna Minguzzi, M. P. Tosi
2001 Physical Review A. Atomic, Molecular, and Optical Physics  
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
more » ... 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.
doi:10.1103/physreva.64.023421 fatcat:ltx5hbpyrzhphe7d3i466yirby