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G. Kazakov, Thorsten Schumm:
"Magic radio-frequency dressing for trapped atomic microwave clocks";
Physical Review A, 91 (2015), 023404-1 - 023404-9.

It has been proposed to use magnetically trapped atomic ensembles to enhance the interrogation time in microwave clocks. To mitigate the perturbing effects of the magnetic trap, near-magic-field configurations are employed, where the involved clock transition becomes independent of the atom's potential energy to first order. Still, higher order effects are a dominating source for dephasing, limiting the performance of this approach. Here we propose a simple method to cancel the energy dependence to both first and second order, using weak radio-frequency dressing. We give values for dressing frequencies, amplitudes, and trapping fields for 87Rb atoms and investigate quantitatively the robustness of these second-order-magic conditions to variations of the system parameters. We conclude that radio-frequency dressing can suppress field-induced dephasing by at least one order of magnitude for typical experimental parameters.

magnetic trapping, 87Rubidium, RF dressing

http://dx.doi.org/10.1103/PhysRevA.91.023404