Coherent suppression of tensor frequency shifts through magnetic field rotation

Abstract

We introduce a scheme to coherently suppress second-rank tensor frequency shifts in atomic clocks, relying on the continuous rotation of an external magnetic field during the free atomic state evolution in a Ramsey sequence. The method retrieves the unperturbed frequency within a single interrogation cycle and is readily applicable to various atomic clock systems. For the frequency shift due to the electric quadrupole interaction, we experimentally demonstrate suppression by more than two orders of magnitude for the ${}^2{S}_{1/2}\to {}^2{D}_{3/2}$ transition of a single trapped ${}^{171}{\text{Yb}}^{+}$ ion. The scheme provides particular advantages in the case of the ${}^{171}{\text{Yb}}^{+}$ ${}^2{S}_{1/2}\to {}^2{F}_{7/2}$ electric octupole (E3) transition. For an improved estimate of the residual quadrupole shift for this transition, we measure the excited state electric quadrupole moments $\Theta ({}^2{D}_{3/2})=1.95(1)e{a}_0^2$ and $\Theta ({}^2{F}_{7/2})=-0.0297(5)e{a}_0^2$ with $e$ the elementary charge and $a_0$ the Bohr radius, improving the measurement uncertainties by one order of magnitude.

arXiv comment6 pages, 3 figures

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• ${}^{171}$Yb${}^{+}$ optical clock with $2.2\times 10^{-18}$ systematic uncertainty and absolute frequency measurements
• Coherent excitation of the highly forbidden electric octupole transition in ${}^{172}$Yb${}^{+}$
• Prospects of a Pb${}^{2+}$ ion clock
• A New Clock Transition with the Highest Sensitivity to $\alpha$ Variation and Simultaneous Magic Trapping Conditions with Other Clock Transitions in Yb
• Robust and scalable rf spectroscopy in first-order magnetic sensitive states at second-long coherence time
• Quadrupole transitions and quantum gates protected by continuous dynamic decoupling