Abstract
In this paper, a set of master equations of a cold atom-molecule system including the manipulation of an external rotating magnetic field and laser signal under a mean-field approximation was developed. We discovered that external manipulation can be characterized by a single regulating term. After considering the realizability and necessity of the regulating term for system manipulation, we separated the molecule preparation procedure into three stages: the phase transforming, descending and stable stages. In each stage, the regulating term’s qualities were analyzed. Further, we discovered that, under certain situations, this system cannot enter the pure molecular state in a stable manner, regardless of whether it is regulated or not. Finally, an approach was proposed for the rapid preparation of cold molecules.
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