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    Space-Time Optical Hopfion Crystals

    Wenbo Lin1,*, Nilo Mata-Cervera2, Yasutomo Ota3, Yijie Shen2,4,†, and Satoshi Iwamoto5,6,‡

    • *Contact author: lin.w.ebb4@m.isct.ac.jp
    • †Contact author: yijie.shen@ntu.edu.sg
    • ‡Contact author: iwamoto@iis.u-tokyo.ac.jp

    Phys. Rev. Lett. 135, 083801 – Published 21 August, 2025

    DOI: https://doi.org/10.1103/hh5s-cprt

    Abstract

    Hopfions—higher-dimensional topological quasiparticles with sophisticated 3D knotted spin textures discovered in condensed matter and photonic systems—show promise in high-density data storage and transfer. Here, we present crystalline structures of hopfions lying in space-time constructed by spatiotemporally structured light. Practical methodologies using bichromatic structured light beams or dipole arrays to assemble 1D and higher dimensional hopfion lattices are proposed, and a technique for tailoring topological orders is elucidated. Optical hopfion crystals constitute a new platform for high-dimensional topological information transfer.

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