Bose-Fermi mixtures in the molecular limit

Abstract

We consider a Bose-Fermi mixture in the molecular limit of the attractive interaction between fermions and bosons. For a boson density smaller or equal to the fermion density, we show analytically how a T-matrix approach for the constituent bosons and fermions recovers the expected physical limit of a Fermi-Fermi mixture of molecules and atoms. In this limit, we derive simple expressions for the self-energies, the momentum distribution function, and the chemical potentials. By extending these equations to a trapped system, we determine how to tailor the experimental parameters of a Bose-Fermi mixture in order to enhance the 'indirect Pauli exclusion effect' on the boson momentum distribution function. For the homogeneous system, we present finally a Diffusion Monte Carlo simulation which confirms the occurrence of such a peculiar effect.

13 pages, 7 figures; final version

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• Second root of dilute Bose-Fermi mixtures
• Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
• Energy of strongly attractive Bose-Fermi mixtures
• Mechanical stability of resonant Bose-Fermi mixtures
• Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions
• Quantum Monte Carlo study of the indirect Pauli exclusion effect in Bose-Fermi mixtures