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Non-Abelian Electric Field and Zitterbewegung on a Photonic Frequency Chain

Shu Yang (杨树)1,2, Bengy Tsz Tsun Wong (黄梓峻)1,2, Jinbing Hu (胡金兵)1,2,3, and Yi Yang (杨易)1,2,*

  • *Contact author: yiyg@hku.hk

Phys. Rev. Lett. 137, 056901 – Published 27 July, 2026

DOI: https://doi.org/10.1103/qy4y-171h

Abstract

The synthetic frequency dimension, which realizes fictitious spatial dimensions from the spectral degree of freedom, has emerged as a promising platform for engineering artificial gauge fields in studying quantum simulations and topological physics with photons. A current central task for frequency-domain photons is the creation and manipulation of nontrivial non-Abelian field strength tensors and to observe their governing dynamics. Here, we experimentally demonstrate a minimal scheme for creating non-Abelian electric fields in a photonic frequency chain using a polarization-multiplexed, time-modulated ring resonator. By engineering spin-orbit coupling via modulation phase offset, polarization rotation, and polarization retardation, we achieve programmable control over synthetic Floquet bands and their quasimomentum spin-resolved textures. Leveraging self-heterodyne coherent detection, we demonstrate Zitterbewegung—a trembling motion of photons—induced by non-Abelian electric fields on the frequency chain. We further observe the interference between Zitterbewegung and Bloch oscillations arising from the coexistence of non-Abelian and Abelian electric fields. Our Letter bridges synthetic dimensions with non-Abelian gauge theory for versatile photonic emulation of relativistic quantum mechanics and spinor dynamics and can be instrumental in applications like frequency-domain optical computation and multimodal frequency comb control.

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Trembling Photons in Non-Abelian Electric Fields

Published 27 July, 2026

A ring of optical fiber can be made to host phenomena that originated in the realm of high-energy physics.

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