In this application, we propose to study the physics of the polaronic gas. In a spin imbalanced Fermi gas, that is with a larger number of spin up particles than with spin down, the usual Cooper pairing scenario no longer applies, and this raises the question of the possible phases of the system. It was recently proposed by C. Lobo et. al. [PRL 97, 200403 (2006)], that in the strong imbalanced reg ...