Magnetic Sublevel Independent Magic and Tune-Out Wavelengths of the Alkaline-Earth Ions.

Light shift in a state due to the applied laser in an atomic system vanishes at tune-out wavelengths ( λ T s). Similarly, differential light shift in a transition vanishes at the magic wavelengths ( λ m a g i c s). In many of the earlier studies, values of the electric dipole (E1) matrix elements were inferred precisely by combining measurements and calculations of λ m a g i c . Similarly, the λ T values of an atomic state can be used to infer the E1 matrix element, as it involves dynamic electric dipole (α) values of only one state whereas the λ m a g i c values require evaluation of α values for two states. However, both the λ m a g i c and λ T values depend on angular momenta and their magnetic components (M) of states. Here, we report the λ m a g i c and λ T values of many S 1 / 2 and D 3 / 2 , 5 / 2 states, and transitions among these states of the Mg + , Ca + , Sr + and Ba + ions that are independent of M values. It is possible to infer a large number of E1 matrix elements of the above ions accurately by measuring these values and combining with our calculations. [ABSTRACT FROM AUTHOR]