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Spin-density-functional theory for imbalanced interacting Fermi gases in highly elongated harmonic traps

Spin-density-functional theory for imbalanced interacting Fermi gases in highly elongated harmonic traps

We numerically study imbalanced two component Fermi gases with attractive interactions in highly elongated harmonic traps. An accurate parametrization formula for the ground state energy is presented for a spin-polarized attractive Gaudin-Yang model. Our studies are based on an accurate microscopic spin-density-functional theory through the Kohn-Sham scheme which employs the …