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    Nonlocal nonlinear edge states in photonic Floquet lattices with pseudo-spin-orbit coupling

    Zhiwei Shi1, Yijie Wu1, Maowu Zuo2, Huanggang Li3,*, Huan Jiang4, Xuekai Ma5,†, and Yaohua Deng1,‡

    • *Contact author: lhg_3@sina.com
    • †Contact author: xuekai.ma@gmail.com
    • ‡Contact author: dengyaohua@gdut.edu.cn

    Phys. Rev. A 112, 033529 – Published 19 September, 2025

    DOI: https://doi.org/10.1103/rjdz-dcqg

    Abstract

    We propose a theoretical framework for engineering wave-vector angles in nonlocal nonlinear Floquet lattices to modulate photonic spin-orbit coupling (SOC). By controlling polar and azimuthal angles of transverse wave vectors in orthogonally polarized beams, we achieve tunable SOC strength, which governs the formation and propagation dynamics of topological edge states. The nonlocal nonlinearity introduces a distinct threshold for edge state emergence while enhancing their scattering robustness. The helical lattice geometry enables dual-parameter control, linking edge state velocity and topological band-gap adjustment through a single structural parameter. This system provides a platform for investigating nonlinear topological phenomena, with potential applications in on-chip photonic devices and quantum information processing.

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