Abstract In this article we address the general approach for calculating dynamical dipole polarizabilities of small quantum systems, based on a sum-over-states formula involving in principle the entire energy spectrum of the system. We complement this method by a few-parameter model involving a limited number of effective transitions, allowing for a compact and accurate representation of both the isotropic and anisotropic components of the polarizability. We apply the method to the series of ten heteronuclear molecules composed of two of (Li,Na,K,Rb,Cs) alkali-metal atoms. We rely on both up-to-date spectroscopically-determined potential energy curves for the lowest electronic states, and on our systematic studies of these systems performed during the last decade for higher excited states and for permanent and transition dipole moments. Such a compilation is timely for the continuously growing researches on ultracold polar molecules. Indeed the knowledge of the dynamic dipole polarizabilities is crucial to model the optical response of molecules when trapped in optical lattices, and to determine optimal lattice frequencies ensuring optimal transfer to the absolute ground state of initially weakly-bound molecules. When they exist, we determine the so-called ‘magic frequencies’ where the ac-Stark shift and thus the viewed trap depth, is the same for both weakly-bound and ground-state molecules.

中文翻译：

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异核碱二聚体的动态偶极极化率：超冷分子的光学响应、捕获和控制

摘要 在本文中，我们讨论了计算小量子系统动态偶极极化率的一般方法，基于一个原则上涉及系统整个能谱的状态和公式。我们通过涉及有限数量的有效跃迁的少数参数模型补充了这种方法，从而可以紧凑而准确地表示极化率的各向同性和各向异性分量。我们将该方法应用于由两个 (Li,Na,K,Rb,Cs) 碱金属原子组成的十个异核分子系列。我们既依赖于最新的光谱确定的最低电子态势能曲线，也依赖于我们在过去十年中对这些系统进行的系统研究，以获得更高的激发态以及永久和跃迁偶极矩。这样的汇编对于不断发展的超冷极性分子研究来说是及时的。事实上，动态偶极极化率的知识对于模拟分子在光学晶格中的光学响应以及确定最佳晶格频率至关重要，以确保最佳转移到最初弱结合分子的绝对基态。当它们存在时，我们确定所谓的“魔频”，其中 ac-Stark 位移以及由此可见的陷阱深度对于弱结合分子和基态分子都是相同的。并确定最佳晶格频率，确保最佳转移到初始弱结合分子的绝对基态。当它们存在时，我们确定所谓的“魔频”，其中 ac-Stark 位移以及由此可见的陷阱深度对于弱结合分子和基态分子都是相同的。并确定最佳晶格频率，确保最佳转移到初始弱结合分子的绝对基态。当它们存在时，我们确定所谓的“魔频”，其中 ac-Stark 位移以及由此可见的陷阱深度对于弱结合分子和基态分子都是相同的。