Shrinking of a condensed fermionic cloud in a trap approaching the Bose-Einstein condensation limit

A. Perali, P. Pieri, G. C. Strinati
2003 Physical Review A. Atomic, Molecular, and Optical Physics  
We determine the zero-temperature density profile of a cloud of fermionic atoms in a trap subject to a mutual attractive interaction, as the strength of the interaction is progressively increased. We find a significant decrease of the size of the atomic cloud as it evolves from the weak-coupling (BCS) regime of overlapping Cooper pairs to the strong-coupling (Bose-Einstein) regime of non-overlapping bound-fermion pairs. Most significantly, we find a pronounced increase of the value of the
more » ... value of the density at the center of the trap (even by an order of magnitude) when evolving between the two regimes. Our results are based on a generalized Thomas-Fermi approximation for the superfluid state, that covers continuously all coupling regimes.
doi:10.1103/physreva.68.031601 fatcat:jlfcyi5p3bfehphaf4xsklcbl4