发表机构
The University of Hong Kong（香港大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出在光子合成频率维度中利用三个耦合环形谐振器实现 SU(3) 非阿贝尔规范场，构建紧束缚模型并验证其能带与波包动力学，为高秩非阿贝尔光控制开辟新途径。
AI 中文摘要
合成规范场为设计光子波动力学提供了强大途径，尤其是在由调制谐振器模式形成的合成频率维度中。尽管以往的大多数实现集中于阿贝尔或低秩非阿贝尔结构，但在合成频率维度中实现 SU(3) 规范场的光子平台仍然缺失。本文提出了一种利用三个耦合环形谐振器，通过调制和干涉工程模式转换来实现 SU(3) 规范结构的方案。我们构建了一个紧束缚哈密顿量，其矩阵值跳跃由盖尔曼矩阵生成，并展示了其演化如何分解为实验上可实现的光学元件。所得到的平台支持具有颜色分辨纹理的 SU(3) 结构能带色散，以及由 SU(3) 规范场塑造的波包动力学。全波启发的数值模拟进一步确认了预期的光谱响应和 SU(3) 子空间中的类 Zitterbewegung 运动。我们的结果将 SU(3) 规范场引入合成频率光子学，并为在调制谐振器系统中实现对光的高秩非阿贝尔控制建立了途径。
英文摘要
Synthetic gauge fields provide a powerful route to engineer photonic wave dynamics, especially in synthetic frequency dimensions formed by modulated resonator modes. While most previous realizations have focused on Abelian or lower-rank non-Abelian structures, a photonic implementation of SU(3) gauge fields in the synthetic frequency dimension has remained lacking. Here we propose a route to realize SU(3) gauge structure using three coupled ring resonators with modulation- and interference-engineered mode conversion. We formulate a tight-binding Hamiltonian with matrix-valued hopping generated by the Gell-Mann matrices and show how its evolution can be decomposed into experimentally implementable optical elements. The resulting platform supports SU(3)-structured band dispersions with color-resolved texture and wave-packet dynamics shaped by SU(3) gauge fields. Full-wave-inspired numerical modeling further confirms the expected spectral response and Zitterbewegung-like motion in SU(3) subspaces. Our results introduce SU(3) gauge fields into synthetic frequency photonics and establish a route toward higher-rank non-Abelian control of light in modulated resonator systems.
CommentsMain text: 5 pages, 4 figures; Supplementary material: 20 pages, 7 figures
