Ferromagnetic spin-1 Bose-Einstein condensates in the broken-axisymmetric phase support polar-core spin vortices (PCVs), which are intimately linked to the nonequilibrium dynamics of the system. For a purely transversely magnetized system, the Turner point-vortex model predicts that PCVs behave like massive charged particles interacting via a two-dimensional Coulomb potential. We test the accuracy of the Turner model for two oppositely charged PCVs, via comparisons with numerical simulations. While the bare Turner model shows discrepancies with our numerical results, we find that a simple rescaling of the PCV mass gives much better agreement. This can be explained via a phenomenological damping arising from coupling to modes extrinsic to the point-vortex phase space. We also identify the excitations produced following PCV annihilation, which help elucidate recent phase ordering results. We extend the Turner model to cases where the system is magnetized both transversally and axially, identifying a crossover to scalar vortex dynamics for increasing external Zeeman field.

中文翻译：

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铁磁自旋1 Bose-Einstein凝聚物中极芯自旋涡的阻尼点涡模型

断裂的轴对称相中的铁磁自旋1 Bose-Einstein冷凝物支持极芯自旋涡（PCV），这些旋涡与系统的非平衡动力学密切相关。对于纯横向磁化系统，Turner点涡模型预测PCV的行为就像通过二维库仑势相互作用的块状带电粒子一样。通过与数值模拟的比较，我们测试了两个带相反电荷的PCV的Turner模型的准确性。尽管裸露的特纳模型与我们的数值结果显示出差异，但我们发现，对PCV质量进行简单的重新缩放可以更好地达成一致。这可以通过现象阻尼来解释，该现象阻尼是由于耦合到点涡旋相空间的固有模态而产生的。我们还确定了PCV歼灭后产生的激励，这有助于阐明最近的阶段排序结果。我们将特纳模型扩展到系统被横向和轴向磁化的情况，确定与标量涡旋动力学的交叉点以增加外部塞曼场。