Hyperfine effects on potassium tune-out wavelengths and polarizabilities

Abstract

The influence of hyperfine interactions on the tune-out wavelengths of the 39K, 40K, and 41K isotopes of the potassium atom was investigated. The hyperfine interaction of the 4s1/2 ground state results in a shift and splitting of the primary tune-out wavelength near 769 nm. The 4s1/2 state hyperfine splittings of the primary tune-out wavelength were almost equal to the hyperfine splittings of the ground states. The splittings in the wavelengths were 0.0009, 0.0026, and 0.0005 nm for 39K, 40K, and 41K, respectively. The hyperfine splitting of the npJ levels leads to the creation of additional tune-out wavelengths. The additional tune-out wavelengths could be difficult to detect due to very small differences from the transition wavelengths to the 4pJ,F states. The hyperfine Stark shift for the ground states of all three isotopes was also computed, and the value for 39K was found to be compatible with the previous experiments and the most recent calculation using relativistic many-body perturbation theory. © 2013 American Physical Society.