论文标题
涡流分子动力学的分布式涡度模型
Distributed vorticity model for vortex molecule dynamics
论文作者
论文摘要
我们分析了用线性相干耦合的两组分子玻璃酿造式凝结物中涡流分子动力学的影响。涡流分子由通过相对相的域壁连接的每个组件冷凝物中的相同电荷的涡流组成。在先前的论文参考中[物理学。 Reva。 106,043319（2022）]我们使用图像方法描述了涡流分子与边界与边界的相互作用，除了从域壁的表面张力中产生的马格努斯力效应外，每个组件涡流作为点涡流。在这里，我们通过考虑反映域壁对涡流分子相结构的影响的图像涡度的连续分布来扩展模型。在各向同性陷阱中的进攻中心涡流分子的情况下，分布图像涡度会削弱其对进动频率的贡献。我们在二维圆盘中测试了耦合的GROSS-PITAEVSKII方程的数值模拟的模型预测，并为改进的模型提供了支持。
We analyze the effect of a hard wall trapping potential on the dynamics of a vortex molecule in a two-component Bose-Einstein condensate with linear coherent coupling. A vortex molecule consists of a vortex of the same charge in each component condensate connected by a domain wall of the relative phase. In a previous paper Ref.[Phys. RevA. 106,043319(2022)] we described the interaction of a vortex molecule with the boundary using the method of images by separately treating each component vortex as a point vortex, in addition to a Magnus force effect from the surface tension of the domain wall. Here we extend the model by considering a continuous distribution of image vorticity reflecting the effect of the domain wall on the vortex molecule phase structure. In the case of a precessing centered vortex molecule in an isotropic trap, distributing the image vorticity weakens its contribution to the precession frequency. We test the model predictions against numerical simulations of the coupled Gross-Pitaevskii equations in a two-dimensional circular disc and find support for the improved model.
