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.
Derivation of the Gross-Pitaevskii equation for condensed bosons from the Bogoliubov- de Gennes equations for superfluid fermions / PIERI, Pierbiagio; STRINATI CALVANESE, Giancarlo. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 91:3(2003), pp. 030401-1-030401-4. [10.1103/PhysRevLett.91.030401]
Derivation of the Gross-Pitaevskii equation for condensed bosons from the Bogoliubov- de Gennes equations for superfluid fermions
PIERI, Pierbiagio;
2003
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
