非局域非线性相互作用下玻色–爱因斯坦凝聚体涡旋孤子动力学演化模式仿真研究
Simulation Study of the Dynamic Evolution Model of Vortex Solitons of Bose-Einstein Condensates with Non-Local Nonlinear Interactions
DOI: 10.12677/mos.2024.136580, PDF,    国家自然科学基金支持
作者: 胡常敏, 徐安源, 连江滨, 王庆茹, 王 颖*：江苏科技大学理学院，江苏 镇江
关键词: 涡旋孤子；非局域相互作用；Gross-Pitaevskii方程；Vortex Solitons； Non-Local Interactions； Gross-Pitaevskii Equation
摘要: 基于二维含非局域非线性相互作用的Gross-Pitaevskii方程(GPE)，我们研究了二维玻色爱因斯坦凝聚体中在非局域的非线性相互作用下体系涡旋孤子的演化问题，我们的工作考虑了非局域非线性相互作用，也就是在传统的三次非线性相互作用之外的高阶非线性作用对涡旋孤子的演化影响，通过数值仿真的方法我们研究了体系涡旋孤子随时间演化的图样以及演化的一些非局域非线性作用的效应，得到了涡旋孤子可能的周期性演化与单调衰减的演化模式，相应地，数值计算与仿真结果与前期实验理论计算得出的结果吻合，我们的工作可以用以指导二维玻色爱因斯坦凝聚体中考虑进非局域非线性作用影响下体系涡旋孤子的演化的实验观测。
Abstract: Based on the two-dimensional Gross-Pitaevskii Equation with nonlocal nonlinear interactions, we study the evolution of vortex solitons in two-dimensional Bose-Einstein condensates under non-local nonlinear interactions. Our work takes into account the nonlocal nonlinear interactions, in other words, the evolution of vortex solitons influenced by higher-order nonlinear actions other than the traditional cubic nonlinear interactions. Through numerical simulation, we studied the evolution pattern of vortex solitons of the system over time and some effects of the evolution caused by nonlocal nonlinear actions, and obtained the evolution model of periodic and monotonic decay evolution of vortex solitons. The numerical and simulation results are in agreement with the previous experimental theoretical results, and our work can be used to guide the experimental observation of the evolution of vortex solitons in two-dimensional Bose-Einstein condensates under the influence of local nonlinear action.
文章引用：胡常敏, 徐安源, 连江滨, 王庆茹, 王颖. 非局域非线性相互作用下玻色–爱因斯坦凝聚体涡旋孤子动力学演化模式仿真研究[J]. 建模与仿真, 2024, 13(6): 6336-6342. https://doi.org/10.12677/mos.2024.136580

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