title: Derivation of the Gross-Pitaevskii equation for condensed bosons from the Bogoliubov-de Gennes equations for superfluid fermions.
abstract: We derive the time-independent Gross-Pitaevskii equation at zero temperature for condensed bosons, which form as bound-fermion pairs when the mutual fermionic attractive interaction is sufficiently strong, from the strong-coupling limit of the Bogoliubov-de Gennes equations that describe superfluid fermions in the presence of an external potential. Three-body corrections to the Gross-Pitaevskii equation are also obtained by our approach. Our results are relevant to the recent advances with ultracold fermionic atoms in a trap.
authors.affiliation: Dipartimento di Fisica, UdR INFM, Università di Camerino, I-62032 Camerino, Italy.
authors.forename: P
authors.initials: P
authors.lastname: Pieri
authors.forename: G C
authors.initials: GC
authors.lastname: Strinati