论文标题
Dirac Bose-Einstein冷凝水的涡流激发
Vortex Excitations of Dirac Bose-Einstein Condensates
论文作者
论文摘要
我们探索了由固定的迪拉克·毛毛蒂维斯基方程（GPE）描述的非平衡狄拉克·玻色丝凝结物（Dirac Bec）中的涡旋。我们发现，狄拉克方程的多组分结构可以使两个冷凝物的相绕组相差，相应的相绕组数不同，$ \ ell_a- \ ell_b = \ pm 1 $。我们观察到三类以远场行为区分的涡流状态：两个组件中的任何一个上的一个环形词与另一个成分上的涡流结合在一起，并且在强大的组分相互作用的情况下，这两个组件上的涡流曲线。由于组件之间的相位差异，后者是多个核心涡旋。我们还解决了霍尔达内差距在这些涡旋上的作用，该涡度的作用比组成部分具有相似的效果，这使得在任何一个sublattice上的职业都更加昂贵。我们采用一种数值拍摄方法来可靠地识别涡旋解决方案并使用它来扫描相位空间的大部分。然后，我们在集成波函数上使用分类算法来建立不同拓扑扇区的相图。
We explore vortices in non-equilibrium Dirac Bose-Einstein condensates (Dirac BEC) described by a stationary Dirac Gross-Pitaevskii equations (GPE). We find that the multi-component structure of Dirac equation enables the difference in phase winding of two condensates with respective phase winding number differing by one, $\ell_a - \ell_b = \pm 1$. We observe three classes of vortex states distinguished by their far-field behavior: A ring soliton on either of the two components in combination with a vortex on the other component, and, in the case of strong inter-component interactions, a vortex profile on both components. The latter are multiple core vortices due to the phase winding difference between the components. We also address the role of a Haldane gap on these vortices, which has a similar effect than inter-component by making the occupation on either sublattice more costly. We employ a numerical shooting method to reliably identify vortex solutions and use it to scan large parts of the phase space. We then use a classification algorithm on the integrated wavefunctions to establish a phase diagram of the different topological sectors.
