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20 April 2024

» pubmed » pmid12906406

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Derivation of the Gross-Pitaevskii equation for condensed bosons from the Bogoliubov-de Gennes equations for superfluid fermions
P Pieri ; G C Strinati ;
Date:	18 Jul 2003
Journal:	Phys Rev Lett, 91 (3), 030401
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:	PubMed, pmid12906406
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