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Bose-Fermi pair correlations in attractively interacting Bose-Fermi atomic mixtures

Abstract : We study static properties of attractively interacting Bose-Fermi mixtures of uniform atomic gases at zero temperature. Using the Green's function formalism, we calculate the boson-fermion scattering amplitude and the fermion self-energy in the medium to lowest order of the hole-line expansion. We study the ground-state energy and pressure as a function of the scattering length for a few values of the boson-fermion mass ratio mb/mf and the number ratio Nb/Nf. We find that the attractive contribution to the energy is greatly enhanced for small values of the mass ratio. We study the role of Bose-Fermi pair correlations in the mixture by calculating the pole of the boson-fermion scattering amplitude in the medium. The pole shows a standard quasiparticle dispersion for a Bose-Fermi pair. In addition, we also study the fermion dispersion relation. We find two dispersion branches with the possibility of avoided crossings. This strongly depends on the number ratio Nb/Nf.
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http://hal.in2p3.fr/in2p3-00421978
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Submitted on : Monday, October 5, 2009 - 2:21:44 PM
Last modification on : Wednesday, September 16, 2020 - 4:07:54 PM

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T. Watanabe, T. Suzuki, P. Schuck. Bose-Fermi pair correlations in attractively interacting Bose-Fermi atomic mixtures. Physical Review A, American Physical Society, 2008, 78, pp.033601. ⟨10.1103/PhysRevA.78.033601⟩. ⟨in2p3-00421978⟩

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