  We analyze the zero temperature phase diagram for an asymmetric two-component
Fermi gas as a function of mass anisotropy and population imbalance. We
identify regions corresponding to normal, or uniform/non-uniform superfluid
phases, and discuss topological quantum phase transitions in the
Bardeen-Cooper-Schrieffer (BCS), unitarity and Bose-Einstein condensation (BEC)
limits. Lastly, we derive the zero temperature low frequency and long
wavelength collective excitation spectrum, and recover the Bogoliubov relation
for weakly interacting dilute bosons in the BEC limit.
