Superfluid Bose-Fermi mixture from weak coupling to unitarity

Year: 2008

Authors: Adhikari S.K., Salasnich L.

Autors Affiliation: Instituto de Física Teórica, UNESP—São Paulo State University, 01405-900 São Paulo, SP, Brazil; CNR-INFM and CNISM, Unit of Padua, Department of Physics “Galileo Galilei,” University of Padua, 35122 Padua, Italy

Abstract: We investigate the zero-temperature properties of a superfluid Bose-Fermi mixture by introducing a set of coupled Galilei-invariant nonlinear Schrodinger equations valid from weak coupling to unitarity. The Bose dynamics is described by a Gross-Pitaevskii-type equation including beyond-mean-field corrections possessing the correct weak-coupling and unitarity limits. The dynamics of the two-component Fermi superfluid is described by a density-functional equation including beyond-mean-field terms with correct weak-coupling and unitarity limits. The present set of equations is equivalent to the equations of generalized superfluid hydrodynamics, which take into account also surface effects. The equations describe the mixture properly as the Bose-Bose repulsive (positive) and Fermi-Fermi attractive (negative) scattering lengths are varied from zero to infinity in the presence of a Bose-Fermi interaction. The present model is tested numerically as the Bose-Bose and Fermi-Fermi scattering lengths are varied over wide ranges covering the weak-coupling to unitarity transition.

Journal/Review: PHYSICAL REVIEW A

Volume: 78 (4)      Pages from: 043616-1  to: 043616-6

More Information: We thank D. Blume for kindly providing additional data of FNMC calculation [53]. S. K. A. has been partially supported by the FAPESP and CNPq of Brazil. L. S. has been partially supported by the Fondazione CARIPARO and GNFM-INdAM.
DOI: 10.1103/PhysRevA.78.043616

Citations: 93
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