Finite Temperature Effects in Trapped Unitary Fermi Gases with Population Imbalance

We study the finite temperature $T$ behavior of trapped Fermi gases in the unitary regime and in the presence of a population imbalance with polarization $p$. We obtain a phase diagram in the $p$ - $T$ plane, which establishes various superfluid and normal phases. Our theory, which is consistent with the standard $T=0$ calculations in the literature, incorporates the important effect of non-condensed pairs. These are essential in order to arrive at physically meaningful transition temperatures $T_c(p)$. Moreover, as a result of these non-condensed pairs our $ T \leq T_c$ profiles evolve from the well documented featureless behavior at $p=0$ to behavior which shows clear indications of the presence of a condensate at $p \neq 0$. We also show profiles and central densities in different regimes of the phase diagram, and detailed comparisons with recent experiments are presented, \\ 1. C.-C. Chien, Q.J. Chen, Y. He, and K. Levin, \textit{Intermediate temperature superfluidity in an atomic Fermi gas with population imbalance}, Phys. Rev. Lett. 97, 090402 (2006) \\ 2. C.-C. Chien, Q.J. Chen, Y. He, and K. Levin, \textit{Finite temperature effects in trapped Fermi gases with population imbalance}, Phys. Rev. A 74, 021602(R) 2006.