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    Bidirectional feedback and correlation analysis of soliton-state transitions mediated by a quasi-continuous-wave background

    Xin Yan1,*, Wen-Zhi Lan1,*, Zhen-Tao Ju1, Hao-Yu Feng1, Hui-Jun Li2,†, Yue-Yue Wang1,‡, and Chao-Qing Dai1,2,§

    • *These authors contributed equally to this work.
    • †Contact author: hjli@zjnu.cn
    • ‡Contact author: yywang@zafu.edu.cn
    • §Contact author: dcq424@126.com

    Phys. Rev. A 113, 063511 – Published 4 June, 2026

    DOI: https://doi.org/10.1103/syw6-dvhl

    Abstract

    The quasi-continuous-wave background (qCWB) is a common phenomenon in the nonlinear dynamics of ultrafast fiber lasers, yet its role in soliton-state transitions remains insufficiently understood. Here, we confirm the presence of qCWB by combining soliton filtering with short-time Fourier transform measurements. Mutual information and Pearson correlation analyses reveal that qCWB plays a decisive role in nonequilibrium switching between soliton molecules and pulsating soliton molecules. We further identify a bidirectional feedback mechanism, in which qCWB induces soliton-state switching via positive feedback, while the resulting soliton states exert negative feedback on qCWB, thereby maintaining dynamic balance. This mechanism enables a qCWB-based optical encoding platform for active control of ultrafast laser states.

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