Geometric phases are ubiquitous in physics; they act as memories of the transformation of a physical system. In optics, the most prominent examples are the Pancharatnam-Berry phase and the spin-redirection phase. Recent technological advances in phase and polarization structuring have led to the discovery of additional geometric phases of light. The underlying mechanism for all of these is provided by fiber bundle theory. This Colloquium reviews how fiber bundle theory not only sheds light on the origin of geometric phases of light but also lays the foundations for the exploration of high-dimensional state spaces, with implications for topological photonics and quantum communications.

中文翻译：

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座谈会：光的几何相位：纤维束理论的见解

几何相在物理学中无处不在。它们充当物理系统转变的记忆。在光学中，最突出的例子是 Pancharatnam-Berry 相和自旋重定向相。相位和偏振结构方面的最新技术进步导致了光的其他几何相位的发现。所有这些的基本机制都是由纤维束理论提供的。本次研讨会回顾了光纤束理论如何不仅揭示了光的几何相位的起源，而且为探索高维状态空间奠定了基础，并对拓扑光子学和量子通信产生了影响。