Experimental and Theoretical Study of Dynamic Polarizabilities in the 5S1/2-5D5/2 Clock Transition in Rubidium-87 and Determination of Electric Dipole Matrix Elements

The interaction between light and an atom causes perturbations in the atom's energy levels, known as the light shift. These light shifts are a key source of inaccuracy in atomic clocks, and can also deteriorate their precision. We present a study of light shifts and associated dynamic polarizabilities for a two-photon atomic clock based on the 5S1/2-5D5/2 transition in rubidium-87 over the range 770-800 nm. We deter-mine experimental and theoretical values for a magic wavelength in this range and the electric dipole (E1) matrix element for the 5P3/2-5D5/2 transition. We find a magic wavelength of 776.179(5) nm (experi-mental) and 776.21 nm (theoretical) in the vicinity of the 5P3/2-5D5/2 resonance, and the corresponding reduced E1 matrix element 1.80(6)ea0 (experimental) and 1.96(15)ea0 (theoretical). These values resolve a previous discrepancy between theory and experiment.