Field-induced tunneling rates, polarizabilities, and hyperpolarizabilities for low-lying excited states of Li and Na

We have obtained solutions from the state-specific complex eigenvalue Schr\"odinger equation (CESE) for the dc-field-induced energy shifts and widths of the Li 1s²3s ²S, 3p ²{P}ᵒ$, 3d $²$D, Na KL3s $²$S, 3p $²Pᵒ, 4s ²S, and 3d ²D states. These allowed us to compute tunneling rates and scalar and tensor polarizabilities and hyperpolarizabilities. Our values for the polarizabilities are compared with earlier theoretical and experimental ones. We have also computed the tunneling rates using a previously published semiclassical formula and have compared the ab initio results with the semiclassical ones. Due to electronic structure and spectral effects, quantitative as well as qualitative differences occur.