Damping of long wavelength collective modes in spinor Bose-Fermi mixtures

Abstract

Using an effective field theory we describe the low energy bosonic excitations in a three dimensional ultra-cold mixture of spin-1 bosons and spin-1/2 fermions. We establish an interesting fermionic excitation induced generic damping of the usual undamped long wavelength bosonic collective Goldstone modes. Two states with bosons forming either a ferromagnetic or polar superfluid are studied. The linear dispersion of the bosonic Bogoliubov excitations is preserved with a renormalized sound velocity. For the polar superfluid we find both gapless modes (density and spin) are damped, whereas in the ferromagnetic superfluid we find the density (spin) mode is (not) damped. We argue quite generally that this holds for any mixture of bosons and fermions that are coupled through at least a density-density interaction. We discuss the implications of our many-body interaction results for experiments on Bose-Fermi mixtures.

arXiv comment5 pages, 2 figures, replaced with published version

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• Breaking of Goldstone modes in two component Bose-Einstein condensate
• Landau Damping in a Mixture of Bose and Fermi Superfluids
• Polarizing the Medium: Fermion-Mediated Interactions between Bosons
• Beliaev damping in quasi-2D dipolar condensates
• Electronic properties and polaronic dynamics of semi-Dirac system within ladder approximation
• Quantitative theory of composite fermions in Bose-Fermi mixtures at $\nu =1$
• Dipole oscillation of a trapped Bose--Fermi-mixture gas in collisionless and hydrodynamic regimes
• Absence of Landau damping in driven three-component Bose-Einstein condensate in optical lattices
• Damping-free collective oscillations of a driven two-component Bose gas in optical lattices
• Dipole Mode of Trapped Bose--Fermi Mixture Gas