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

T. Miyakawa·K. Oda·T. Suzuki·H. Yabu
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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, the parameter ratio $R_{int}$ is found that discriminates the region of the large boson-profile change. These estimates are applied for numerical results for the potassium atoms and checked their consistency. It is suggested that a small fraction of fermions could be trapped without an external potential for the system with an attractive boson-fermion interaction.

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T. Miyakawa, K. Oda, T. Suzuki, H. Yabu. 2000-02-03. Static Properties of Trapped Bose-Fermi Mixed Condensate of Alkali Atoms. https://doi.org/10.1143/jpsj.69.2779

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