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    Tunable coherent coupling in a trispin vapor via random spin-exchange collisions

    Weiyi Wang1,2,3,*, Qingyun Yin1,2,3, Lingchen Zhang1,2,3, Di Gong2, Linghan Liu1,2,3, Yazhao Li1,2,3, Chenghang Sun1,2,3, Yijin Liu1,2,3, Fan Wang1,2,3 et al.

    Haipeng Zhu2, Dinghui Gong1,2,3, Zitong Xu4,5, Kai Wei1,2,3, and Jiancheng Fang1,2,3

    • *Contact author: weiyiwang@buaa.edu.cn

    Phys. Rev. Applied 26, 044048 – Published 16 October, 2026

    DOI: https://doi.org/10.1103/lrtq-p5ww

    Abstract

    Random spin-exchange collisions in dense thermal alkali vapors can induce coherent mode-mixing dynamics, enabling a minority species to inherit the majority species’ gyromagnetic ratio and long coherence time. However, conventional polarization Bloch equations rely on a phenomenological slowing-down factor q(P) that does not fully capture transient dynamical coupling effects in the spin-exchange relaxation-free regime for multispecies systems. Here we introduce a hyperfine-resolved Bloch equation framework that explicitly retains hyperfine-resolved alkali-alkali spin-exchange channels and alkali-nuclear Fermi-contact couplings. In a thermal K39−Rb85−He3 vapor, we demonstrate that K39 coherently inherits the Rb85 precession frequency over a wide range of longitudinal field Bz, with the nuclear spins inducing rapid relaxation and nonlinear gyromagnetic-ratio shifts near a magnetically tunable critical point. Time- and frequency-domain measurements with species-selective readout show that the hyperfine-resolved model reproduces the measured field-dependent mode frequencies and critical hybridization of the trispin system. By resolving the mode frequencies, damping rates, and optical-readout response near the dynamical critical point, the present framework provides a practical response-function calibration tool for strongly coupled alkali-noble-gas sensors.

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