Magic radio-frequency dressing of nuclear spins in high-accuracy optical clocks.
A Zeeman-insensitive optical clock atomic transition is engineered when nuclear spins are dressed by a nonresonant radio-frequency field. For fermionic species as (87)Sr, (171)Yb, and (199)Hg, particular ratios between the radio-frequency 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 semiclassical radio-frequency dressed spin is numerically computed and compared to an analytical quantum description including higher-order magnetic field corrections to the dressed energies.
UPMC Université Paris 06, UMR 7092, LPMAA, 4 place Jussieu, case 76, 75005 Paris, France. thomas.zanon@upmc.fr
Thomas
T
Zanon-Willette
Emeric
E
de Clercq
Ennio
E
Arimondo