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    Investigating dual-microwave-dressed atomic spectra in a five-level scheme based on Rydberg atoms

    Qing Liu1,*, Weimin Ruan1, Jinbo Yuan1, Shunyuan Zheng1, He Wang1, Jie Zhang1, Zhenfei Song1,2,3,†, and Jifeng Qu2,‡

    • *Contact author: liuqing173@mails.ucas.edu.cn
    • †Contact author: songzf@nim.ac.cn
    • ‡Contact author: qujf@nim.ac.cn

    Phys. Rev. A 113, 012808 – Published 6 January, 2026

    DOI: https://doi.org/10.1103/pngw-5j8b

    Abstract

    The capability to detect multifrequency microwave electric fields is pivotal for advancing Rydberg-atom-based microwave sensing in radar and communication applications. However, this technology has been limited to high-sensitivity measurements at a single-frequency field, and the precise detection of dual-frequency fields remains a challenge. Here we investigate precise measurement of dual-frequency microwave electric fields under resonant and off-resonant conditions. Through experimental measurement and theoretical simulation, we identify distinctive features in the transmission spectrum and reveal the quantum mechanisms. Furthermore, the quantitative relationships between the transmission peak separations Δf1, Δf2, and Δf3 and the dual-microwave-field parameters are established and validated experimentally, leading to the measurement of the dual-frequency electric-field strengths. This work reveals quantum coherence dynamics in dual-microwave-dressed systems, paving the way for integrating deep learning to achieve high-precision parameter extraction and for investigating more complex multifrequency fields with a scalable approach.

    Physics Subject Headings (PhySH)

    Corrections

    25 February, 2026

    Correction: A contact author footnote for the last author was missing at publication and has been added. A statement of author contributions has also been added.

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