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    Compact 780-nm Rb optical clock

    Zhendong Chen1,*, Tianyu Liu1,*, Ruoao Yang1, Qiaohui Yang1, Ya Wang1, Jie Miao1, Jingming Chen1, Duo Pan1,†, Shiying Cao2 et al.

    Zhigang Zhang1, Jianjun Wu1,‡, and Jingbiao Chen1,3

    • 1State Key Laboratory of Advanced Optical Communication Systems and Networks, School of Electronics, Peking University, Beijing 100871, China
    • 2Division of Time and Frequency Metrology, National Institute of Metrology, Beijing 100013, China
    • 3Hefei National Laboratory, Hefei 230088, China

    • *These authors contributed equally.
    • †Contact author: panduo@pku.edu.cn
    • ‡Contact author: just@pku.edu.cn

    Phys. Rev. Applied 25, 014004 – Published 2 January, 2026

    DOI: https://doi.org/10.1103/6pt5-zgmd

    Abstract

    We demonstrate a compact 780-nm rubidium optical clock, comprising an optical-frequency standard and an optical-frequency comb, with a total optical volume of 11.6 liters. Unlike the 778-nm rubidium atomic clocks based on two-photon transitions, the laser frequency in our system was stabilized to the hyperfine transition of 87Rb 52S1/2 (F = 2) → 52P3/2 (F′ = 3) using modulation transfer spectroscopy. This approach effectively eliminates Doppler background and provides higher signal-to-noise ratio and sensitivity. After correcting for systematic perturbations, the absolute frequency was measured to be 384 228 115 200.7(2.7) kHz. A nearly 300-MHz microwave signal, whose phase exactly tracked that of the optical-frequency standard, was generated via the optical-frequency comb, yielding a frequency instability of 1.91 × 10−13 at 1 s and 5.29 × 10−14 at 1000 s in the electronic domain. The reproducibility was measured to be 3.66 × 10−12 by comparing results from four independent daily measurements, each conducted following a complete system shutdown and restart. This is among the most precise frequency stabilization results for the first-excited-state transition of alkali metal atoms to date, and represents an optical clock based on this transition. This work offers a promising approach for the development of portable optical clocks.

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