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

Preprint

19 June 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0211060

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.

Keywords

DENSITY FUNCTIONAL THEORY
EXCHANGE CORRELATION
BOSE FERMI MIXTURES
FERMI MIXTURES
APPROXIMATION
GROUND STATE
KOHN

All Related Versions

Version 1, 2002-11-04, ArXiv
Version 2, 2002-11-29, ArXiv
Version 3, 2003-02-07, ArXiv
Version 4, 2003-06-19, ArXiv
Published version: Physical Review A, 67 (6), 063606.

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