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From the Bogoliubov-de Gennes equations for superfluid fermions to the Gross-Pitaevskii equation for condensed bosons | P. Pieri
; G.C. Strinati
; | Date: |
3 Dec 2002 | Journal: | Phys. Rev. Lett. 91, 030401 (2003) DOI: 10.1103/PhysRevLett.91.030401 | Subject: | cond-mat | 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. | Source: | arXiv, cond-mat/0301023 | Services: | Forum | Review | PDF | Favorites |
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