Magic-zero wavelengths of alkali-metal atoms and their applications

We identified wavelengths $\lambda_0$ where the ground state frequency-dependent polarizabilities in alkali-metal atoms are zero. The calculations were carried out using high-precision relativistic all-order method where all single, double, and partial triple excitations of the Dirac-Fock wave functions are included to all orders of perturbation theory. Several magic-zero wavelengths are determined for alkali-metal atoms from Li to Cs, and their uncertainties are estimated. Applications of these magic-zero wavelengths to sympathetic cooling in two-species mixtures of group-II and other more complicated atoms with alkali are discussed. Special cases where these wavelengths coincide with strong resonance transitions in group-II atoms, Yb, Dy, Ho, and Er are identified. Measurements of the magic-zero wavelength points for benchmark tests of theory and experiment are proposed.