BCS-BEC crossover with unequal mass fermions
Abstract
We investigate the crossover from BCS pairing to molecular BEC in an atomic gas with two fermion species with masses m m tuned through a Feshbach resonance. We present results for the T=0 equation of state as a function of the scattering length including the effects of Gaussian fluctuations about the mean field ground state. We compute the ground state energy as a function of m/m at unitarity and find excellent agreement with the quantum Monte Carlo result for m/m = 6.67 for a 40K-6Li mixture. We show that the dimer scattering length in the BEC limit as a function of m/m compares well with exact four-body results of Petrov et al. We also derive the condition for trapping frequencies to obtain an unpolarized gas in a harmonic trap.
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