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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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7 pages, 5 figures

Scientific paper

10.1103/PhysRevA.76.013609

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 $^7Li$ system is given.

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