2008/10/28 by Sadhan K. Adhikari, S. K. Adhikari, Luca Salasnich · 1 citation
Physics and Astronomy · #Atomic and Subatomic Physics Research #Bose gas #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Coupling (piping) #Fermi Gamma-ray Space Telescope #Fermi gas #Mean field theory #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Scattering #Scattering length #Superfluidity #Unitarity #cond-mat.other
paper · pdf · doi:10.1103/physreva.78.043616
published as Phys. Rev. A 78 (2008) 043616 (pp 1-10) · 11 pages
arxiv created 2008/10/28 · openalex publication_date 2008/10/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the zero-temperature properties of a superfluid Bose-Fermi mixture by introducing a set of coupled Galilei-invariant nonlinear Schr"odinger 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.