异核碱金属二聚物的动态偶极极化率：超冷分子的光学响应、捕获和控制
Dynamic dipole polarizabilities of heteronuclear alkali dimers: optical response, trapping and control of ultracold molecules
摘要：
在这篇文章中，我们解决的一般方法计算小量子系统的动态偶极极化率，基于一个求和的状态公式，原则上涉及整个系统的能谱。我们补充这种方法的几个参数的模型，涉及有限数量的有效过渡，允许一个紧凑和准确的表示的各向同性和各向异性的极化率的组件。我们将此方法应用于由两个碱金属原子（$^7$ Li，$^{23}$ Na，$^{39}$ K，$^{87}$ Rb，$^{133}$ Cs）组成的一系列十个杂原子分子。我们依赖于最新的光谱确定的势能曲线的最低电子状态，并在我们的系统的研究，这些系统在过去十年中进行更高的激发态和永久和过渡偶极矩。这样的汇编对于不断增长的超冷极性分子的研究是及时的。事实上，动态偶极极化率的知识是至关重要的模型的光学响应的分子被困在光晶格，并确定最佳的晶格频率，确保最佳的转移到绝对的基态的初始弱结合的分子。当它们存在时，我们确定所谓的“魔术频率”，其中ac-斯塔克位移，从而观察到的陷阱深度，对于弱束缚和基态分子是相同的。
英文摘要：
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 ($^7$Li,$^{23}$Na,$^{39}$K,$^{87}$Rb,$^{133}$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.
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