向错准晶中的涡旋孤子
Vortex solitons in disclination quasicrystals
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中文总结 AI 辅助
本文研究带向错准晶中涡旋孤子的特性，提出引入向错的新型准晶结构，发现两类稳定涡旋孤子，其稳定性随离散旋转对称性降低而拓宽，拓展了准晶局域化理论并提供功率/信息鲁棒传输新方向。
中文摘要 AI 辅助
光子准晶是具有ν阶离散旋转对称性𝒞_ν的结构，能够支持携带线性涡旋的光束和涡旋孤子的稳定传播。然而，迄今为止，准晶的离散旋转对称性ν对涡旋光态性质的影响尚未得到研究，因为相关研究仅采用了最简单的彭罗斯镶嵌结构或对应的光诱导彭罗斯晶格。本文提出了一类广泛的准晶，其结构中引入了全局拓扑缺陷——向错，可从基础彭罗斯结构生成具有任意期望离散旋转对称性的新型准晶结构。这种全局拓扑变形极大地丰富了准晶的线性光谱，使其能够支持新型线性涡旋态，并从这些涡旋态分叉出具有异常强度和相位分布的稳定无阈值涡旋孤子族。我们发现两类不同的稳定涡旋孤子，由紧密相邻的亮斑的同相或反相对组成，总强度分布反映了带向错准晶的特定离散旋转对称性。值得注意的是，即使是低电荷涡旋孤子在带向错的准晶中也能保持稳定，且其稳定性区间随准晶离散旋转对称性𝒞_ν的降低而拓宽。我们的结果将准晶中的局域化理论扩展到具有全局拓扑变形的结构，凸显了这些系统在功率或信息鲁棒传输方面的新前景。
英文摘要
Being structures characterized by discrete rotational symmetry $\mathcal{C}_ν$ of order $ν$, photonic quasicrystals are capable to support stable propagation of linear vortex-carrying light beams and vortex solitons. However, the impact of discrete rotational symmetry $ν$ of quasicrystals on the properties of vortex light states was not investigated so far, as only the systems constructed using the simplest Penrose tiling or corresponding optically induced Penrose lattices were considered in this context. Here we propose a broad class of quasicrystals with global topological defects -- disclinations -- introduced into their structure that allows to produce new quasicrystalline structures with any desired order of discrete rotational symmetry from basic Penrose structure. Such global topological deformation substantially enriches linear spectrum of quasicrystals, allowing them to support new types of linear vortex states and bifurcating from them families of stable thresholdless vortex solitons with unusual intensity and phase distributions. We found two different classes of stable vortex solitons consisting of in-phase or out-of-phase pairs of closely located bright spots, with total intensity distribution reflecting particular discrete rotational symmetry of the quasicrystal with disclination. Remarkably, even low-charge vortex solitons can be stable in quasicrystals with disclinations, while stability intervals for them broaden with decrease of the discrete rotational symmetry $\mathcal{C}_ν$ of quasicrystal. Our results expand the theory of localization in quasicrystals to structures with global topological deformation, highlighting new prospects for robust transmission of power or information arising in these systems.
发表机构
- Key Laboratory for Physical Electronics and Devices, Ministry of Education, School of Electronic Science and Engineering, Xi’an Jiaotong University（西安交通大学电子科学与工程学院）
- Institute of Spectroscopy, Russian Academy of Sciences（俄罗斯科学院光谱研究所）
- School of Physics, Chengdu University of Technology（成都理工大学物理学院）
- School of Physics and Astronomy, Shanghai Jiao Tong University（上海交通大学物理与天文学院）
- State Key Laboratory of Human-Machine Hybrid Augmented Intelligence, Institute of Artificial Intelligence and Robotics, Xi’an Jiaotong University（西安交通大学人工智能与机器人研究院人机混合增强智能全国重点实验室）
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