Superfluid Bose-Fermi mixture from weak-coupling to unitarity
arXiv:0810.5046 · doi:10.1103/PhysRevA.78.043616
Abstract
We investigate the zero-temperature properties of a superfluid Bose-Fermi mixture by introducing a set of coupled Galilei-invariant nonlinear Schrödinger 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.
11 pages
References in corpus (23)
- General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
- Interaction-driven Dynamics of 40K / 87Rb Fermi-Bose Gas Mixtures in the Large Particle Number Limit
- Local Density Functional Theory for Superfluid Fermionic Systems: The Unitary Gas
- Universal properties of a trapped two-component Fermi gas at unitarity
- Energetics and Structural Properties of Trapped Two-Component Fermi Gases
- Unitary Fermi Gas in a Harmonic Trap
- Nonlinear Schrödinger equation for a superfluid Fermi gas from BCS to Bose crossover
- BEC-BCS Crossover of a Trapped Two-Component Fermi Gas with Unequal Masses
- Macroscopic Periodic Tunneling of Fermi Atoms in the BCS-BEC Crossover
- Tightly bound gap solitons in a Fermi gas
- Nonlinear Schroedinger equation for a superfluid Bose gas from weak coupling to unitarity: Study of vortices
- Kirzhnits gradient expansion for a D-dimensional Fermi gas
- Expansion of a Fermi Cloud in the BCS-BEC Crossover
- One-dimensional superfluid Bose-Fermi mixture: mixing, demixing and bright solitons
- Condensate Fraction of a Two-Dimensional Attractive Fermi Gas
- Finite temperature effects on the collapse of trapped Bose-Fermi mixtures
- Strong coupling theory for the superfluidity of Bose-Fermi mixtures
- Gap solitons in superfluid boson-fermion mixtures
- Small mass- and trap-imbalanced two-component Fermi systems
- Fermi-Bose mixture across a Feshbach resonance
- Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture
- Mean-Field vs Monte-Carlo equation of state for the expansion of a Fermi superfluid in the BCS-BEC crossover
- The Trapped Polarized Fermi Gas at Unitarity