发表机构
National University of Uzbekistan（乌兹别克斯坦国立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究PT对称四边星形图中的离散孤子，发现由分支几何支撑的固定拓扑荷涡旋态，其在平衡增益损耗下成为载流态并具有稳定性窗口，并探讨了电路实现。
AI 中文摘要
分支通过引入一维晶格中不存在的顶点自由度，从根本上改变了非线性局域化。我们研究了由离散非线性薛定谔方程描述的PT对称四边星形图中的局域态。我们识别出一个具有固定拓扑荷的离散涡旋态，该态由分支几何结构支撑。通过从反连续极限连续延拓构造，涡旋在存在平衡增益与损耗时演化为载流态，并展现出常规分支所不具备的稳定性窗口。讨论了所提出模型的可能电路实现。
英文摘要
Branching fundamentally modifies nonlinear localization by introducing vertex degrees of freedom absent in one-dimensional lattices. We investigate localized states in a PT-symmetric four-edge star graph described by the discrete nonlinear Schrödinger equation. We identify a discrete vortex state with a fixed topological charge, supported by the branching geometry. Constructed by continuation from the anticontinuum limit, the vortex evolves into a current-carrying state in the presence of balanced gain and loss and exhibits stability windows absent for the conventional branches. A possible electric-circuit realization of the proposed model is discussed.
Comments24 pages, 8 figures
