Rotational spectroscopy of a single molecular ion at sub part-per-trillion resolution

Abstract

We use quantum-logic spectroscopy (QLS) and interrogate rotational transitions of a single CaH+ ion with a highly coherent frequency comb, achieving a fractional statistical uncertainty for a transition line center of 4 x 10^-13. We also improve the resolution in measurement of the Stark effect due to the radio-frequency (rf) electric field experienced by a molecular ion in an rf Paul trap, which we characterize and model. This allows us to determine the electric dipole moment of CaH+ by systematically displacing the ion to sample different known rf electric fields and measuring the resultant shifts in transition frequency.

5 pages, 3 figures, plus supplemental material

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• An ${}^{27}$Al${}^{+}$ quantum-logic clock with systematic uncertainty below $10^{-18}$
• Coherent laser spectroscopy of highly charged ions using quantum logic
• Proton-Electron Mass Ratio from Laser Spectroscopy of HD${}^{+}$ at the Part-Per-Trillion Level
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• Quantum control of a single ${\mathrm{H}}_2^{+}$ molecular ion
• High-fidelity quantum state control of a polar molecular ion in a cryogenic environment
• Molecular Quantum Control Algorithm Design by Reinforcement Learning