一对囚禁原子与超远程分子光缔合的模型研究
Model study on the photoassociation of a pair of trapped atoms into an ultralong-range molecule
摘要：
利用量子亏损理论方法，计算了双原子分子势为$-1/R^3$渐近变化时，在解离阈值附近的分子超长程振动态。这些态的性质是相当感兴趣的，因为它们可以通过两个基态原子的光缔合（PA）形成。计算了简谐囚禁原子对态与分子超长程振动态之间的Franck-Condon重叠积分，并与未囚禁自由原子对在低能散射态下的值进行了比较.我们发现，一对基态原子之间的谐波势阱的结合有显着的影响的Franck-Condon积分，因此可以用来影响PA。陷阱诱导的两个基态原子之间的结合可以促进两个原子和光缔合双原子分子之间的相干PA动力学。
英文摘要：
Using the method of quantum-defect theory, we calculate the ultralong-range molecular vibrational states near the dissociation threshold of a diatomic molecular potential which asymptotically varies as $-1/R^3$. The properties of these states are of considerable interest as they can be formed by photoassociation (PA) of two ground state atoms. The Franck-Condon overlap integrals between the harmonically trapped atom-pair states and the ultralong-range molecular vibrational states are estimated and compared with their values for a pair of untrapped free atoms in the low-energy scattering state. We find that the binding between a pair of ground-state atoms by a harmonic trap has significant effect on the Franck-Condon integrals and thus can be used to influence PA. Trap-induced binding between two ground-state atoms may facilitate coherent PA dynamics between the two atoms and the photoassociated diatomic molecule.
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