Nonlinear Schrödinger equation for a superfluid Fermi gas from BCS to Bose crossover

Details Nonlinear Schrödinger equation for a superfluid Fermi gas from BCS to Bose crossover Nonlinear Schrödinger equation for a superfluid Fermi gas from BCS to Bose crossover

2008-02-15

arxiv.org/abs/0802.2222v1

Phys. Rev. A 77 (2008) 045602 (pp1=4)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 5 figures

Scientific paper

10.1103/PhysRevA.77.045602

We introduce a quasi-analytic nonlinear Schr\"odinger equation with beyond mean-field corrections to describe the dynamics of a zero-temperature dilute superfluid Fermi gas in the crossover from the weak-coupling Bardeen-Cooper-Schrieffer (BCS) regime, where $k_F|a| \ll 1$ with $a$ the s-wave scattering length and $k_F$ the Fermi momentum, through the unitarity limit, $k_Fa \to \pm \infty$, to the Bose regime where $k_Fa >0$. The energy of our model is parametrized using the known asymptotic behavior in the BCS, Bose, and the unitarity limits and is in excellent agreement with accurate Green function Monte Carlo calculations. The model generates good results for frequencies of collective breathing oscillation of a trapped Fermi superfluid.

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