Superfluid-normal quantum phase transitions in an imbalanced Fermi gas

We investigate the superfluid-to-normal zero temperature quantum phase transitions of asymmetric two-component Fermi gases as a function of the chemical potential imbalance h. The calculations are performed for homogeneous and trapped imbalanced systems. We concentrate at unitarity, characterized by a divergent interaction parameter k_F a, where most of the current experiments are realized. For homogeneous systems, we determine the critical chemical potential imbalance h_c at which possible phase transitions occur. In the case of trapped gases, we show how h_c can be consistently determined from experimental observations.