BEC-BCS crossover of a trapped Fermi gas without using the local density approximation

Details BEC-BCS crossover of a trapped Fermi gas without using the local density approximation BEC-BCS crossover of a trapped Fermi gas without using the local density approximation

2006-08-30

arxiv.org/abs/cond-mat/0608689v2

Physics

Condensed Matter

Other Condensed Matter

10 pages, 3 figures, 1 table. This version includes calculations for all closed shells upto 440 atoms and we explored shorter

Scientific paper

10.1103/PhysRevA.76.011604

We perform a variational quantum Monte Carlo simulation of an interacting Fermi gas confined in a three dimensional harmonic potential. This gas is considered as the precursor system from which a molecular bosonic gas is formed. Based on the results of two-body calculations for trapped atoms, we propose a family of variational many-body wave functions that takes into account the qualitative different nature of the BCS and BEC regimes as a function of the scattering length. Energies, densities and correlation functions are calculated and compared with previous results for homogeneous gases. Universality tests at the unitarity limit are performed including the verification of the virial relation and the evaluation of the $\beta$ parameter.

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