合成SU(1,1)规范场对非厄米光的控制
Synthetic SU(1,1) Gauge Control of Non-Hermitian Light
浏览论文内容
中文总结 AI 辅助
本文研究非厄米介质中非紧致SU(1,1)规范场对光的控制，实现伪酉演化和伪强度守恒，产生洛伦兹进动及非阿贝尔洛伦兹力导致的实空间轨迹，揭示非厄米光输运的隐藏守恒量。
中文摘要 AI 辅助
合成规范场能够实现非平凡的光控制，但长期以来主要局限于U(1)和SU(2)等紧致群。本文研究了在非厄米介质中实现的非紧致SU(1,1)规范场下的近轴光传播。在该规范场作用下，光以伪酉方式演化，尽管存在材料增益或损耗，伪强度仍然守恒。该规范场驱动光学赝自旋在布洛赫双曲面上进行洛伦兹进动，在内部闵可夫斯基空间中产生旋转、加速以及奇异点临界动力学。非阿贝尔洛伦兹力将这些内部动力学转化为实空间中的振荡、双曲和三次方伪强度质心轨迹，即使在均匀介质中也是如此，而相反伪强度的光可以朝相反方向漂移——这是一种非厄米自旋霍尔效应。我们的结果将非厄米波物理与非紧致规范动力学联系起来，并揭示了非厄米光输运中隐藏的守恒量。
英文摘要
Synthetic gauge fields enable nontrivial light control but remain largely restricted to compact groups such as U(1) and SU(2). Here, we study paraxial light propagation under a noncompact SU(1,1) gauge field realized in a non-Hermitian medium. Under this field, light evolves pseudo-unitarily and conserves pseudo-intensity despite material gain or loss. The gauge field drives Lorentzian precession of the optical pseudospin on a Bloch hyperboloid, producing rotations, boosts, and exceptional-point critical dynamics in an internal Minkowski space. A non-Abelian Lorentz force converts these internal dynamics into real-space oscillatory, hyperbolic, and cubic pseudo-intensity centroid trajectories, even in a uniform medium, while light of opposite pseudo-intensity can drift oppositely-a non-Hermitian spin-Hall-like effect. Our results connect non-Hermitian wave physics with noncompact gauge dynamics and reveal hidden conserved quantities in non-Hermitian light transport.
发表机构
- City University of Hong Kong（香港城市大学）
- Nanjing University（南京大学）
机构由 AI 辅助整理，请以论文原文为准。
