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

A. M. Belemuk, S. -T. Chui, V. N. Ryzhov

cond-mat.stat-mecharXiv:cond-mat/0612572

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 87Rb and 40K 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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