A toy model for molecular condensates in Bose gases

Details A toy model for molecular condensates in Bose gases A toy model for molecular condensates in Bose gases

2000-06-16

arxiv.org/abs/cond-mat/0006263v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, latex, no figures

Scientific paper

The occurrence of a molecular Bose-Einstein condensate is studied for an atomic system near a zero energy resonance of the binary scattering process, with a large and positive scattering length. The interaction potential is modeled by a pseudo-potential having one bound state. Using a variational Gaussian ansatz for the $N$-body density operator, we discuss the thermodynamic properties at low temperature and the relative stability of the system towards the formation of an atomic Bose-Einstein condensate. We also derive an approximate Gross-Pitaevskii equation for the molecular condensate leading to the prediction of a Bogoliubov spectrum.

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