实空间和动量空间中标量波的斯格明子拓扑
Skyrmion topology of scalar waves in real and momentum space
- Wyant College of Optical Sciences, University of Arizona（亚利桑那大学怀特光学科学学院）
- Paderborn University（帕德博恩大学）
- Institute for Photonic Quantum Systems (PhoQS), Paderborn University（帕德博恩大学光子量子系统研究所）
- University of Stuttgart（斯图加特大学）
- Department of Physics, University of Arizona（亚利桑那大学物理系）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究标量波在实空间和动量空间中的斯格明子拓扑，分类不同渐近行为下斯格明子数的存在性与取值，并应用于极化激元、水波和激光系统。
AI中文摘要：
磁斯格明子的概念推广到物理学其他领域，如等离激元学、光学（包括微腔极化激元）甚至水波，已成为重要的研究课题。然而，此类系统中斯格明子数的推广仍是活跃研究的主题。虽然磁斯格明子织构本质上由矢量（磁自旋矢量）形成，但物理学其他领域的最新进展已将斯格明子和斯格明子图案的概念推广到使用标量场定义三分量赝自旋矢量的情况。这产生了多种多样的类斯格明子织构，具体取决于标量场的详细函数形式。例如，驱动-耗散极化激元系统中的稳态出射波在实（构型）空间中无法具有定义良好的全局斯格明子数，但在动量空间中却可以具有。我们对实空间和动量空间中具有不同渐近行为的各种标量场对斯格明子积分进行分类，并在两种情况下给出斯格明子数不存在、为整数、半整数或非整数的条件。我们的分析可应用的物理系统示例包括极化激元凝聚体、水波和增益引导激光器。
英文摘要：
Generalizations of magnetic skyrmions to the context of other areas of physics, such as plasmonics, optics (including microcavity polaritons) and even water waves have become an important research topic. However, the generalization of the skyrmion number in such systems is still the subject of active research. While magnetic skyrmions textures are inherently formed by vectors (magnetic spin vectors), recent developments in other areas of physics have generalized the concept of skyrmions and skyrmionic patterns to the case in which scalar fields are used to define 3-component pseudo-spin vectors. This gives rise to a wide variety of skyrmion-like textures, depending on the detailed functional forms of the scalar fields. For example, steady-state outgoing waves in driven-dissipative polariton systems fail to have a well-defined global skyrmion number in real (configuration) space but can have one in momentum space. We classify the skyrmion integral for various scalar fields with different asymptotic behaviors in real space as well as momentum space, and in both cases give conditions for the skyrmion number not to exist, or be integer, half-integer or non-integer. Examples of physical systems to which our analysis can be applied include polariton condensates, water waves and gain-guided lasers.
