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    Tailoring Spin-Orbit Interaction in High Harmonic Generation via Geometric Phase

    Jianing Zhang1, Xiulan Liu1,2, Olga Smirnova3,4,5,*, Misha Ivanov3,4,6,†, and Liang-You Peng1,2,7,‡

    • *Contact author: smirnova@mbi-berlin.de
    • †Contact author: Mikhail.Ivanov@mbi-berlin.de
    • ‡Contact author: liangyou.peng@pku.edu.cn

    Phys. Rev. Lett. 136, 183802 – Published 5 May, 2026

    DOI: https://doi.org/10.1103/tlww-cyrl

    Abstract

    Intense light fields with spatiotemporally structured wave fronts open new avenues for exploring nonlinear light-matter interactions in ultrafast spectroscopy and photonic technologies. Here, we report the observation of geometric phase induced spin-orbit interaction (SOI) in high harmonic generation from crystalline solids. The geometric phase imprinted on the high-order harmonics originates from spin flips driven by crystal anisotropy. By employing a specially designed metasurface, the conversion from spin to orbital angular momentum can be achieved, sculpting the wave front of harmonics into arbitrary vortex structures. Furthermore, the SOI enables the realization of vectorial shaping, giant photonic spin Hall effects, and metalenses for high-harmonic light.

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