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Classical and quantum dynamics of a model for atomic-molecular Bose--Einstein condensates

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arxiv cond-mat/0510709 v1 pith:3ENQU6SI submitted 2005-10-26 cond-mat.other

classification cond-mat.other
keywords dynamicsatomic-molecularbose--einsteinclassicaldifferentfixedmodelpoints
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We study a model for a two-mode atomic-molecular Bose--Einstein condensate. Starting with a classical analysis we determine the phase space fixed points of the system. It is found that bifurcations of the fixed points naturally separate the coupling parameter space into four regions. The different regions give rise to qualitatively different dynamics. We then show that this classification holds true for the quantum dynamics.

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