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

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.

accepted for publication in Phys. Rev. Lett

References in corpus (8)

• Sr lattice clock at 1x10^{-16} fractional uncertainty by remote optical evaluation with a Ca clock
• Quantum State Engineering and Precision Metrology using State-Insensitive Light Traps
• Nuclear Spin Effects in Optical Lattice Clocks
• Trapping of Neutral Mercury Atoms and Prospects for Optical Lattice Clocks
• Optical Lattice Induced Light Shifts in an Yb Atomic Clock
• An Optical Lattice Clock with Spin-polarized 87Sr Atoms
• Radio-frequency induced ground state degeneracy in a Chromium Bose-Einstein condensate
• Dressed Spin of Helium-3

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• Harmonic dual dressing of spin one-half systems
• Dual atomic interferometer with a tunable point of minimum magnetic sensitivity
• Quantum Control of Two Critically Dressed Spin 1/2 Species in Magnetic Fluctuations
• Continued fraction analysis of dressed systems: application to periodically driven optical lattices
• Theory of composite Ramsey sequences of radiofrequency pulses beyond the rotating wave approximation