Cold Atoms, Cold Molecules, and Spectroscopy

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This proposal for theoretical and computational work has two components, both relatedto the properties of cold atoms. The goal of the first part is to extend our understandingof phase correlations in Bose condensates at zero temperature to double (and eventuallymultiple) well configurations. The objective is to learn to what extent phase correlation persiststhrough a barrier, as a function of barrier height, atom number, and interactions. The second part addresses a bottleneck in attempts to produce electronically, vibrationally,rotationally and translationally cold molecules by starting with cold atoms. Namely,even if the multiple lasers can be assembled and stabilized, the intermediate frequencies arenot known for many alkali diatomics because the molecular structure, being highly perturbed,has not been analyzed. RbCs is of especial interest because both atoms can beefficiently cooled with laser light, and because there are presently efforts at Yale to produceultracold ground state RbCs molecules. We have assisted in this effort by providinginformation on the lowest excited states from our recent analysis of RbCs spectral data.