Stable and unstable regimes in Bose-Fermi mixture with attraction between components

Abstract

A collapse of the trapped boson- fermion mixture with the attraction between bosons and fermions is investigated in the framework of the effective Hamiltonian for the Bose system. The properties of the ${}^{87}$Rb and ${}^{40}$K mixture are analyzed quantitatively at $T=0$. We find numerically solutions of modified Gross- Pitaevskii equation which continuously go from stable to unstable branch. We discuss the relation of the onset of collapse with macroscopic properties of the system. A comparison with the case of a Bose condensate of atomic ${}^{7}Li$ system is given.

arXiv comment7 pages, 5 figures

References in corpus (17)

• Theory of Bose-Einstein condensation in trapped gases
• A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
• Bosons in anisotropic traps: ground state and vortices
• Two-species mixture of quantum degenerate Bose and Fermi gases
• Collapse and Bose-Einstein condensation in a trapped Bose-gas with negative scattering length
• Trapped Fermi gases
• Phonon exchange in dilute Fermi-Bose mixtures: tailoring the Fermi-Fermi interaction
• Interaction-driven Dynamics of 40K / 87Rb Fermi-Bose Gas Mixtures in the Large Particle Number Limit
• Structure and stability of trapped atomic boson-fermion mixtures
• Stability of Bose condensed atomic Li-7
• Mean-field instability of trapped dilute boson-fermion mixtures
• Two-species magneto-optical trap with 40K and 87Rb
• Fermionic bright soliton in a boson-fermion mixture
• Mean-field analysis of the stability of a K-Rb Fermi-Bose mixture
• Component separation in harmonically trapped boson-fermion mixtures
• K-Rb Fermi-Bose mixtures: vortical states and sag
• Vortex state in Bose-Fermi mixture with attraction between bosons and fermions

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