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    Nonlinear subharmonic response and spectral shifts in bichromatically driven atomic magnetic resonance

    Xu-xing Geng1,2, Ao-dong Xie2, Cheng Sheng2, Kai Jin2, Jian-feng Xiao2, Wang-wang Tang2, Yan Yan3, Guo-qing Yang4, Hui Huang5 et al.

    Guang-ming Huang2,*, Hong-Ping Liu1,†, and Gao-xiang Li2,‡

    • *Contact author: gmhuang@ccnu.edu.cn
    • †Contact author: liuhongping@wipm.ac.cn
    • ‡Contact author: gaox@ccnu.edu.cn

    Phys. Rev. A 114, 042811 – Published 15 October, 2026

    DOI: https://doi.org/10.1103/dgmd-fdmh

    Abstract

    Subharmonic resonances can provide spectral observables beyond the main atomic magnetic-resonance spectrum, but their physical origin and use under bichromatic driving remain unclear. We study cesium-vapor magnetic resonance driven by two rf fields. The first field serves as a calibrated local reference. We infer the second field's frequency offset from the multiplet center and its amplitude from the internal splitting. The amplitude calibration includes detuning and off-resonant corrections. Two optical preparation and readout configurations select distinct spin multipoles while preserving the relative magnetic-field geometry. Orientation and alignment spectra exhibit triplet and quintuplet Floquet multiplets, respectively. A Floquet model explains these rank-dependent structures through multiphoton coupling and off-resonant quasienergy shifts. These results enable frequency-and-amplitude readout of rf fields far from the bare Larmor resonance at a fixed static magnetic field.

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