We investigate the crossover from BCS pairing to molecular Bose-Einstein condensation (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 the exact four-body results of Petrov et al. [J. Phys. B 38, S645 (2005)]. We also derive the condition for trapping frequencies to obtain an unpolarized gas in a harmonic trap.
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High-Power Collective Charging of a Solid-State Quantum Battery
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