Collective Excitations of Dilute Bose-Fermi Superfluid Mixtures

Details Collective Excitations of Dilute Bose-Fermi Superfluid Mixtures Collective Excitations of Dilute Bose-Fermi Superfluid Mixtures

2001-06-25

arxiv.org/abs/cond-mat/0106503v1

Laser Physics, 12, 217 (2002)

Physics

Condensed Matter

Soft Condensed Matter

5 pages,3 figures

Scientific paper

Using the effective action formalism, we investigate collective excitations of a dilute mixture of a Bose gas and a two component Fermi gas when both bosons and fermions have undergone superfluid transitions. We show that there is a repulsion between Bogoliubov and Anderson modes, which has important implications including disappearance of boson superfluidity. We derive an analytic expression for the long-wavelength dispersion relation of the mixture at zero temperature and give a condition for the instability. We also numerically calculate the damping rate due to boson-fermion interaction at finite temperatures and show that the two modes are stable at sufficiently low temperatures.

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