Comment on "Fermi-Bose Mixtures near Broad Interspecies Feshbach Resonances"

Abstract

In a recent Letter (Phys. Rev. lett. 105, 195301 (2010)), Song et al. introduced a new variational approach to treat strong attractive boson-fermion (BF) correlations in BF atomic mixtures. The proposed theory predicts a first order phase transition to a condensate of composite BF pairs with center of mass momentum Q=0 as opposed to a composite fermionic molecular Fermi gas. We show in this comment that their approach is incorrect and moreover, by resorting to an exactly solvable model we demonstrate that there cannot be more than one correlated Q=0 BF pair in complete contradiction with their conclusions.

References in corpus (2)

• Bose-Fermi Pair Correlations in Attractively Interacting Bose-Fermi Atomic Mixtures
• Fermi-Bose Mixtures Near Broad Interspecies Feshbach Resonances

Cited by in corpus (4)

• Quantum phase transition in Bose-Fermi mixtures
• Anomalous Dimers in Quantum Mixtures near Broad Resonances: Pauli Blocking, Fermi Surface Dynamics and Implications
• Bose-Fermi Pairs in a Mixture and the Luttinger Theorem within a Nozieres-Schmitt-Rink like Approach
• Non-equilibrium dynamics and atom-pair coherence in strongly interacting Bose-Fermi mixtures