Chongfan Technology
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29
2026
-
06
Universal Generation and Manipulation of High-Dimensional Spin-Orbit States in Hilbert Space
Author:
The teams of Lingling Huang at Beijing Institute of Technology and Shuang Zhang at the University of Hong Kong have demonstrated a compact metasurface capable of generating arbitrary spin–orbit states in a four-dimensional Hilbert space, visualizing them on the Poincaré sphere, and scaling easily to higher dimensions. This single-layer device employs a four‑atom unit cell that enables precise control over complex amplitude, phase, and polarization. Furthermore, the authors propose an efficient interferometric scheme that requires only three interference patterns to reconstruct the full density matrix of any N‑dimensional spin–orbit state. This approach reveals an intrinsic spin–orbit parity order that governs the symmetry of projection intensity patterns, independent of the weighting of eigenmodes, and allows for controllable mode transformations via higher‑order geometric phases. These advances establish a versatile platform for high‑dimensional photonics.
The research findings were published in Nature Communications on June 24, 2026, under the title “Generic generation and manipulation of high-dimensional spin-orbit states in Hilbert space.”
Figure 1: Generation, detection, and parity sorting of high-dimensional spin–orbit states.
Figure 2: Reconstruction scheme for interferometric tomography of high-dimensional spin–orbit states.
Figure 3: Experimental verification of the metasurface
Figure 4: Spin–orbit parity order and centrosymmetry in high-dimensional states.
Figure 5: Higher-order Pancharatnam–Berry (PB) phase‑controlled mode conversion
Source: Optics World
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