Trap-imbalanced fermion mixtures

We analyze the ground-state phases of two-component (sigma equivalent to{up arrow,down arrow}) population- and mass-balanced (N-up arrow=N-down arrow and m(up arrow)=m(down arrow)) but trap-imbalanced (omega(up arrow)not equal omega(down arrow)) fermion mixtures as a function of interaction strength from the weak attraction Bardeen-Cooper-Schrieffer (BCS) to the strong attraction Bose-Einstein condensation (BEC) limit. In the BCS limit, we find that the unpolarized superfluid (UPS) fermions exist away from the central core of the trapping potentials, and are surrounded by partially sigma-polarized normal (P sigma PN) fermions. As the interactions increase towards unitarity, we find that the central P sigma PN core first transitions to a UPS, and then expands towards the edges until the entire mixture becomes a UPS in the BEC limit.