论文标题

通道几何形状中涡流分子的旋转摆动力学

Rotational pendulum dynamics of a vortex molecule in a channel geometry

论文作者

Choudhury, Sarthak, Brand, Joachim

论文摘要

涡流分子是两个相干耦合的超流体中的拓扑激发,由每个超流体中的涡流组成,由相对相的域壁连接,也称为约瑟夫森涡流。我们使用大比塔尔·皮塔夫斯基(Gross-Pitaevskii)模拟补充的扩展点涡流框架,研究了带有平板或通道边界条件的准二维几何形状中这种激发的动力学。除了沿通道的翻译运动外,还发现涡流分子表现出有趣的内部动力学,包括旋转和旋转螺旋形动力学。简化模型的定性描述了导致边界引起的涡流分子破裂的轨迹。我们对涡流分子动力学的表征稳定且不稳定的固定点进行分类。

A vortex molecule is a topological excitation in two coherently coupled superfluids consisting of a vortex in each superfluid connected by a domain wall of the relative phase, also known as a Josephson vortex. We investigate the dynamics of this excitation in a quasi-two-dimensional geometry with slab or channel boundary conditions using an extended point vortex framework complemented by Gross-Pitaevskii simulations. Apart from translational motion along the channel, the vortex molecule is found to exhibit intriguing internal dynamics including rotation and rotational-pendulum-like dynamics. Trajectories leading to a boundary-induced break-up of the vortex molecule are also described qualitatively by the simplified model. We classify the stable and unstable fixed points as well as separatrices that characterize the vortex molecule dynamics.

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