Accurate determination of electric-dipole matrix elements in K and Rb from Stark shift measurements

Abstract

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 4p_j-3d_j' transitions in K and for the 5p_j-4d_j' transitions in Rb to high precision. The 4p_1/2-3d_3/2 and 5p_1/2-4d_3/2 transitions contribute on the order of 90% to the respective polarizabilities of the np_1/2 states in K and Rb, and the 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 accuracy of 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.

arXiv comment5 pages

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• State-insensitive trapping of Rb atoms: linearly versus circularly polarized lights
• Multipolar Black Body Radiation Shifts for the Single Ion Clocks
• Excited states of two-dimensional solitons supported by the spin-orbit coupling and field-induced dipole-dipole repulsion
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• Electric Quadrupole Moments of Metastable States of Ca+, Sr+, and Ba+
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• Electric dipole transition amplitudes for atoms and ions with one valence electron
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• Quantum Assisted Electrometry using Bright Atomic Resonances
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• Relativistic many-body calculation of energies, lifetimes, polarizabilities, blackbody radiative shift and hyperfine constants in Lu2+
• Strong light shifts from near-resonant and polychromatic fields: comparison of Floquet theory and experiment
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