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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
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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 $^7Li$ system is given.

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A. M. Belemuk, S. -T. Chui, V. N. Ryzhov. 2006-12-22. Stable and unstable regimes in Bose-Fermi mixture with attraction between components. https://doi.org/10.1103/physreva.76.013609

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