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    Sympathetic-laser-cooling ion microwave frequency standard with accuracy and stability at 10−15 level

    Ying Zheng1,2, Shengnan Miao1, Yiting Chen1, Wenxin Shi1, Jianwei Zhang1,*, and Lijun Wang1,2

    • 1State Key Laboratory of Precision Space-time Information Sensing Technology, Department of Precision Instrument, Tsinghua University, Beijing 100084, China
    • 2Department of Physics, Tsinghua University, Beijing 100084, China

    • *Contact author: zhangjw@tsinghua.edu.cn

    Phys. Rev. A 113, 033114 – Published 18 March, 2026

    DOI: https://doi.org/10.1103/1fp9-738h

    Abstract

    An accurate timescale is the backbone of the time-frequency system. In recent years, with the development of optical clocks, a hybrid microwave-optical timescale has been proposed. In this “optical clock steering a microwave flywheel oscillator” architecture, the noise of the microwave clock, typically a hydrogen maser, limits the performance. In this paper, we present a sympathetic-laser-cooled ion microwave frequency standard scheme that enables a longer Ramsey interrogation time than the fountain clock and eliminates the dead time induced by the laser-cooling process, thereby overcoming the limitation imposed by the Dick effect. The optimized configuration of a Yb+−Cd+ two-component Coulomb crystal suppresses ion loss, which degrades long-term frequency stability in the past. Using a hydrogen maser as reference for the microwave synthesizer chain, the frequency stability expressed in terms of Allan deviation is measured to be 2.0×10−13/τ, better than that of the laser-cooled mercury ion microwave frequency standard, and reaches 4.0×10−15 after continuously operating for 85 000 s. The systematic uncertainty is evaluated to be 4.4×10−15. We identify the residual magnetic-field fluctuation as the dominant limiting factor and discuss that the sympathetic-laser-cooled ion microwave clock promises to achieve a stability of 2.0×10−14/τ and accuracy at 10−16 level. Its excellent short-and-medium frequency stability is possible to develop a reliable flywheel oscillator or bridge the performance gap between the hydrogen maser and optical clock, therefore breaking through the limitation on local timescale from the flywheel.

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