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    Controllable excitation of vector Akhmediev breather patterns

    Yan-Hong Qin1,*, Ning Cao2, and Li-Chen Zhao2,3,4,5,†

    • 1School of Physical Science and Technology, Xinjiang University, Urumqi, Xinjiang 830046, China
    • 2School of Physics, Northwest University, Xi'an, Shaanxi 710127, China
    • 3Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an, Shaanxi 710127, China
    • 4Peng Huanwu Center for Fundamental Theory, Xi'an, Shaanxi 710127, China
    • 5Fundamental Discipline Research Center for Quantum Science and Technology of Shaanxi Province, Xi'an, Shaanxi 710127, China

    • *Contact author: yhqin@xju.edu.cn
    • †Contact author: zhaolichen3@nwu.edu.cn

    Phys. Rev. A 114, 053506 – Published 6 November, 2026

    DOI: https://doi.org/10.1103/vdl4-nqq9

    Abstract

    In the focusing Manakov system, multiple modulation instability (MI) branches coexist on the same plane-wave background, so the usual weak periodic modulation cannot selectively excite a single vector Akhmediev breather (AB). Here we propose an eigenvector-based initial perturbation scheme that constructs the initial condition as a plane wave plus Fourier modes whose coefficients follow the perturbation eigenvector of a selected MI branch, enabling controllable high-fidelity excitation of desired vector ABs. Numerical simulations show near-100% fidelity with the exact AB solution. The underlying mechanism is eigenvector-controlled mode selection. The perturbation eigenvectors of the non-Hermitian Bogoliubov–de Gennes operator resolve coexisting MI branches at the identical perturbation frequency, enabling selection of the target MI branch. High-fidelity excitation of the prescribed AB pattern is attained either for comparable gains or when the targeted branch exhibits a sufficient gain advantage. The proposed method provides a simple and robust framework for controllable generation of vector ABs over a broad parameter range, highlighting the key role of eigenvector selectivity in multicomponent nonlinear systems.

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