Elisa Fratini and Pierbiagio Pieri
Sezione di Fisica, Scuola di Scienze e Tecnologie, Università di Camerino and CNISM, Via Madonna delle Carceri 9, I-62032 Camerino, Italy

We study a Bose-Fermi mixture, with boson-fermion coupling tuned by a Fano- Feshbach resonance, by diagrammatic means. As the coupling increases, growing boson-fermion pairing correlations progressively reduce the boson condensation temperature and make it eventually vanish at a critical coupling. Such a quantum critical point depends very weakly on the population imbalance and, for vanishing boson densities, coincides with that found for the polaron-molecule transition in a strongly imbalanced Fermi gas, thus bridging two quite different physical systems.

[1] E. Fratini and P. Pieri, Phys. Rev. A 81, 051605(R) (2010).