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Ground-state properties of trapped Bose-Fermi mixtures: role of exchange-correlation

Alexander P. Albus·Fabrizio Illuminati·Martin Wilkens
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Abstract

We introduce Density Functional Theory for inhomogeneous Bose-Fermi mixtures, derive the associated Kohn-Sham equations, and determine the exchange-correlation energy in local density approximation. We solve numerically the Kohn-Sham system and determine the boson and fermion density distributions and the ground-state energy of a trapped, dilute mixture beyond mean-field approximation. The importance of the corrections due to exchange--correlation is discussed by comparison with current experiments; in particular, we investigate the effect of of the repulsive potential energy contribution due to exchange--correlation on the stability of the mixture against collapse.

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Alexander P. Albus, Fabrizio Illuminati, Martin Wilkens. 2003-06-19. Ground-state properties of trapped Bose-Fermi mixtures: role of exchange-correlation. https://doi.org/10.1103/physreva.67.063606

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