Suppressing inhomogeneous broadening in a lutetium multi-ion optical clock

Abstract

We demonstrate precision measurement and control of inhomogeneous broadening in a multi-ion clock consisting of three ${}^{176}$Lu${}^{+}$ ions. Microwave spectroscopy between hyperfine states in the ${}^3{D}_1$ level is used to characterise differential systematic shifts between ions, most notably those associated with the electric quadrupole moment. By appropriate alignment of the magnetic field, we demonstrate suppression of these effects to the $\sim 10^{-17}$ level relative to the ${}^1{S}_0\leftrightarrow {}^3{D}_1$ optical transition frequency. Correlation spectroscopy on the optical transition demonstrates the feasibility of a 10s Ramsey interrogation in the three ion configuration with a corresponding projection noise limited stability of $\sigma (\tau )=8.2\times 10^{-17}/\sqrt{\tau }$

arXiv comment4 pages, 3 figures

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Cited by in corpus (16)

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• Entanglement-Enhanced Optical Atomic Clocks
• Evaluation of a ${}^{88}$Sr${}^{+}$ optical clock with a direct measurement of the blackbody radiation shift and determination of the clock frequency
• Hyperfine averaging by dynamic decoupling in a multi-ion lutetium clock
• Polarizability assessments of ion-based optical clocks
• A tweezer clock with half-minute atomic coherence at optical frequencies and high relative stability
• Prospects of a Pb${}^{2+}$ ion clock
• Motional heating of spatially extended ion crystals
• Impacts of random filling on spin squeezing via Rydberg dressing in optical clocks
• Sub-kelvin temperature management in ion traps for optical clocks
• Precision measurement of the ${}^3{D}_1$ and ${}^3{D}_2$ quadrupole moments in Lu${}^{+}$
• Quadrupole transitions and quantum gates protected by continuous dynamic decoupling
• Hyperfine-mediated effects in a Lu${}^{+}$ optical clock