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Phys Rev Lett. 2002 Feb 18;88(7):070408. Epub 2002 Feb 1.

Phonon spectrum and dynamical stability of a dilute quantum degenerate Bose-Fermi mixture.

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Optical Sciences Center, The University of Arizona, Tucson, Arizona 85721, USA.


We calculate the phonon excitation spectrum in a zero-temperature dilute boson-fermion gaseous mixture. We show how the sound velocity changes due to the boson-fermion interaction, and we determine the dynamical stability regime of a homogeneous mixture. We identify a resonant phonon-exchange interaction between the fermions as the physical mechanism leading to the instability.

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