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 regime of overlapping Cooper pairs to the strong-coupling ~Bose-Einstein! regime of nonoverlapping bound-fermion pairs. Most significantly, we find a pronounced increase of the 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, which covers continuously all coupling regimes.
Shrinking of a condensed fermionic cloud in a trap approaching the Bose-Einstein condensation limit / PERALI, Andrea; PIERI, Pierbiagio; STRINATI CALVANESE, Giancarlo. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - STAMPA. - 68:3(2003), pp. 031601-1-031601-4. [10.1103/PhysRevA.68.031601]
Shrinking of a condensed fermionic cloud in a trap approaching the Bose-Einstein condensation limit
PIERI, Pierbiagio;
2003
Abstract
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 regime of overlapping Cooper pairs to the strong-coupling ~Bose-Einstein! regime of nonoverlapping bound-fermion pairs. Most significantly, we find a pronounced increase of the 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, which covers continuously all coupling regimes.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.