标题： 光学天空rim子在局部退相干中的拓扑鲁棒性 显示英文标题

标题： Topological resilience of optical skyrmions in local decoherence

摘要： 早在1960年代，Tony Skyrme就提出了skyrmions的概念。 嵌入在skyrmions中的拓扑保护配置促使了一些关于其基本性质和多功能应用的研究，引起了兴趣并指导了持续的发展。 与skyrmions相关的拓扑保护最初是在具有相互作用的系统中观察到的。 人们普遍认为skyrmions是稳定的，但相关的确认和实证研究仍然有限。 一个相关的问题是，由单粒子波函数形成的skyrmion配置是否也表现出拓扑稳定性。 在本研究中，我们通过研究局部退相干的影响来证实这一假设。 我们分析和数值地证明了skyrmions的拓扑鲁棒性以及在三种典型退相干通道的局部退相干中skyrmion数的转变点的发生。 另一方面，我们表明这些特性与初始状态无关。 从数值结果来看，我们验证了非均匀但连续的退相干通道也遵循相同的行为，并保持与均匀退相干通道相同的skyrmions的拓扑稳定性。 这些skyrmions的特性有助于在通信和成像等多个领域的进一步应用。 显示英文摘要

摘要： The concept of skyrmions was introduced as early as the 1960s by Tony Skyrme. The topologically protected configuration embedded in skyrmions has prompted some investigations into their fundamental properties and versatile applications, sparking interest and guiding ongoing development. The topological protection associated with skyrmions was initially observed in systems with interactions. It is widely believed that skyrmions are stable yet relevant confirmation and empirical research remains limited. A pertinent question is whether skyrmion configurations formed by single-particle wave functions also exhibit topological stability. In this study, we affirm this hypothesis by investigating the effects of local decoherence. We analytically and numerically demonstrate the topological resilience of skyrmions and occurrence of transition points of skyrmion numbers in local decoherence of three typical decoherence channels. On the other hand, we show that these qualities are independent of the initial state. From the numerical results, we verify that inhomogeneous but continuous decoherence channels also adhere to the same behaviors and hold topological stability of skyrmions as homogeneous decoherence channels. These properties of skyrmions contribute to further applications in various areas including communication and imaging.