Static Properties of the Trapped Bose-Fermi Mixed Condensate
of Alkali Atoms

Abstract

Static properties of a bose-fermi mixture of trapped potassium atoms are studied in terms of coupled Gross-Pitaevskii and Thomas-Fermi equations for both repulsive and attractive bose-fermi interatomic potentials. Qualitative estimates are given for solutions of the coupled equations, and the parameter regions are obtained analytically for the boson-density profile change and for the boson/fermion phase separation. Especially, a combination of the coupling constants and the particle numbers is found that discriminates the region of the large boson-profile change. These estimates are applied for numerical results for the potassium atoms and their consistency is verified.