Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture

Abstract

We investigate the mixing-demixing transition and the collapse in a quasi-two-dimensional degenerate boson-fermion mixture (DBFM) with a bosonic vortex. We solve numerically a quantum-hydrodynamic model based on a new density functional which accurately takes into account the dimensional crossover. It is demonstrated that with the increase of interspecies repulsion, a mixed state of DBFM could turn into a demixed state. The system collapses for interspecies attraction above a critical value which depends on the vortex quantum number. For interspecies attraction just below this critical limit there is almost complete mixing of boson and fermion components. Such mixed and demixed states of a DBFM could be experimentally realized by varying an external magnetic field near a boson-fermion Feshbach resonance, which will result in a continuous variation of interspecies interaction.

9 pages, 11 figures

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• One-dimensional superfluid Bose-Fermi mixture: mixing, demixing and bright solitons
• Condensate Fraction of a Two-Dimensional Attractive Fermi Gas
• Structure of two-component Bose-Einstein condensates with respective vortex-antivortex superposition states
• Superfluid Fermi-Fermi mixture: phase diagram, stability, and soliton formation
• Structure and dynamics of a rotating superfluid Bose-Fermi mixture
• Gap solitons in superfluid boson-fermion mixtures
• Collective oscillations of a Bose-Fermi mixture: Effect of unequal mass of Bose and Fermi particles
• Structure and stability of quasi-two-dimensional boson-fermion mixtures with vortex-antivortex superposed states