Thermodynamics of a Trapped Bose-Fermi Mixture

Abstract

By using the Hartree-Fock-Bogoliubov equations within the Popov approximation, we investigate the thermodynamic properties of a dilute binary Bose-Fermi mixture confined in an isotropic harmonic trap. For mixtures with an attractive Bose-Fermi interaction we find a sizable enhancement of the condensate fraction and of the critical temperature of Bose-Einstein condensation with respect to the predictions for a pure interacting Bose gas. Conversely, the influence of the repulsive Bose-Fermi interaction is less pronounced. The possible relevance of our results in current experiments on trapped ${}^{87}\mathrm{Rb}{-}^{40}${\rm K} mixtures is discussed.

5 pages + 4 figures; minor changes, final version to appear in Phys. Rev. A; the extension work on the finite-temperature low-lying excitations can be found in cond-mat/0307638

References in corpus (4)

• Ground-state properties of a dilute Bose-Fermi mixture
• Collisionless and hydrodynamic excitations of trapped boson-fermion mixtures
• Ground-state properties of trapped Bose-Fermi mixtures: role of exchange-correlation
• Critical temperature of Bose-Einstein condensation in trapped atomic Bose-Fermi mixtures

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• Collisional oscillations of trapped boson-fermion mixtures approaching collapse
• Generalized Mean Field Approach to a Resonant Bose-Fermi Mixture
• Finite temperature excitations of a trapped Bose-Fermi mixture
• Interaction dependent temperature effects in Bose-Fermi mixtures in optical lattices
• First-order Bose-Einstein condensation with three-body interacting bosons
• Finite-Temperature Density-Functional Theory of Bose-Einstein Condensates
• Structure and stability of quasi-two-dimensional boson-fermion mixtures with vortex-antivortex superposed states
• Bose-Fermi Mixtures Near an Interspecies Feshbach Resonance: Testing a Non Equilibrium Approach
• Bose-Einstein condensation and density collapse in a weakly coupled boson-fermion mixture
• Effective Hamiltonian study of excitations in a boson- fermion mixture with attraction between components
• Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions