Generic generation and manipulation of high-dimensional spin-orbit states in Hilbert space.

Authors

Peijin Li, Ruizhe Zhao, Yang Cui, Guangzhou Geng, Junjie Li, Xifeng Ren, Yunkun Wu, Yongtian Wang, Shuang Zhang, Lingling Huang

Published in

Nature communications. Jun 24, 2026. Epub Jun 24, 2026.

Abstract

Light carries both spin (polarization) and orbital angular momentum. Combining these degrees of freedom produces hybrid spin-orbit states that live in a high-dimensional Hilbert space, offering greater information capacity and robustness for optical communication, quantum technologies, and metrology. However, generating arbitrary states in these spaces and characterizing them efficiently has remained difficult. Here we show a compact metasurface that generates arbitrary spin-orbit states in a four-dimensional Hilbert space, visualized on a Poincaré hypersphere, with straightforward scalability to higher dimensions. Using a tetratomic unit cell, the single-layer device precisely controls complex amplitude, phase, and polarization. We further introduce an efficient interferometric scheme that reconstructs the full density matrix of any N-dimensional spin-orbit state using only three interferograms. This approach uncovers an intrinsic spin-orbit parity order that governs the symmetry of projected intensity patterns, independent of the weighting of the eigenmodes, and enables controlled mode transformations through higher-order geometric phases. These advances establish a versatile platform for high-dimensional photonic technologies.

PMID:
42343073
Bibliographic data and abstract were imported from PubMed on 25 Jun 2026.

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