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arXiv · 1206.7091

Magic radio-frequency dressing of nuclear spins in high-accuracy optical clocks

Thomas Zanon-Willette·Emeric de Clercq·Ennio Arimondo
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Abstract

A Zeeman-insensitive optical clock atomic transition is engineered when nuclear spins are dressed by a non resonant radio-frequency field. For fermionic species as $^{87}$Sr, $^{171}$Yb, and $^{199}$Hg, particular ratios between the radiofrequency driving amplitude and frequency lead to "magic" magnetic values where a net cancelation of the Zeeman clock shift and a complete reduction of first order magnetic variations are produced within a relative uncertainty below the $10^{-18}$ level. An Autler-Townes continued fraction describing a semi-classical radio-frequency dressed spin is numerically computed and compared to an analytical quantum description including higher order magnetic field corrections to the dressed energies.

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Thomas Zanon-Willette, Emeric de Clercq, Ennio Arimondo. 2012-11-21. Magic radio-frequency dressing of nuclear spins in high-accuracy optical clocks. https://doi.org/10.1103/physrevlett.109.223003

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