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In this article we address the general approach for calculating dynamicaldipole polarizabilities of small quantum systems, based on a sum-over-statesformula involving in principle the entire energy spectrum of the system. Wecomplement this method by a few-parameter model involving a limited number ofeffective transitions, allowing for a compact and accurate representation ofboth the isotropic and anisotropic components of the polarizability. We applythe 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 onboth up-to-date spectroscopically-determined potential energy curves for thelowest electronic states, and on our systematic studies of these systemsperformed during the last decade for higher excited states and for permanentand transition dipole moments. Such a compilation is timely for thecontinuously growing researches on ultracold polar molecules. Indeed theknowledge of the dynamic dipole polarizabilities is crucial to model theoptical response of molecules when trapped in optical lattices, and todetermine optimal lattice frequencies ensuring optimal transfer to the absoluteground state of initially weakly-bound molecules. When they exist, we determinethe so-called "magic frequencies" where the ac-Stark shift and thus the viewedtrap depth, is the same for both weakly-bound and ground-state molecules.

Dynamic dipole polarizabilities of heteronuclear alkali dimers: optical response, trapping and control of ultracold molecules