4.6 Article

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

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PHYSICAL REVIEW A
卷 67, 期 6, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.67.063606

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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 a comparison with current experiments; in particular, we investigate the effect of the repulsive potential-energy contribution due to exchange correlation on the stability of the mixture against collapse.

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