Abstract :
[en] We study the free expansion of a dilute two-component Fermi gas with attractive interspecies
interaction in the BCS-BEC crossover. We apply a time-dependent parameter-free density-functional
theory by using two choices of the equation of state: an analytic formula based on Monte Carlo data
and the mean-field equation of state resulting from the extended BCS equations. The calculated
axial and transverse radii and the aspect ratio of the expanding cloud are compared to experimental
data on vapors of 6 Li atoms. Remarkably, the mean-field theory shows a better agreement with the
experiments than the theory based on the Monte Carlo equation of state. Both theories predict a
measurable dependence of the aspect ratio on expansion time and on scattering length.
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