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Accurate Determination of Electric-Dipole Matrix Elements in K and Rb From Stark Shift Measurements



B Arora, M S. Safronova, Charles W. Clark


Stark shifts of potassium and rubidium D1 lines have been measured with high precision by Miller et al [1]. In this work, we combine these measurements with our all-order calculations to determine the values of the electric-dipole matrix elements for the 4pj - 3dj0 transitions in K and for the 5pj -4dj0 transitions in Rb to high precision. The 4p1/2-3d3/2 and 5p1/2-4d3/2 transitions contribute on the order of 90% to the respective polarizabilities of the np1/2 states in K and Rb, andthe remaining 10% can be accurately calculated using the relativistic all-order method. Therefore, the combination of the experimental data and theoretical calculations allows us to determine the np - (n - 1)d matrix elements and their uncertainties. We compare these values with our all-order calculations of the np-(n-1)d matrix elements in K and Rb for a benchmark test of the accuracyof the all-order method for transitions involving nd states. Such matrix elements are of special interest for many applications, such as determination of magic wavelengths in alkali-metal atoms for state-insensitive cooling and trapping and determination of blackbody radiation shifts in optical frequency standards with ions.
Physical Review A (Atomic, Molecular and Optical Physics)


atomic structure, polarizabilityu, potassium, rubidium, Stark effect


Arora, B. , Safronova, M. and Clark, C. (2007), Accurate Determination of Electric-Dipole Matrix Elements in K and Rb From Stark Shift Measurements, Physical Review A (Atomic, Molecular and Optical Physics), [online], (Accessed April 24, 2024)
Created November 29, 2007, Updated October 12, 2021