论文标题
来自ADS/CFT对应的强耦合的两组分子铜制凝结物中的分数和整数涡流动力学
Fractional and Integer Vortex Dynamics in Strongly Coupled Two-component Bose-Einstein Condensates from AdS/CFT Correspondence
论文作者
论文摘要
In order to study the rotating strongly coupled Bose-Einstein condensations(BEC), a holographic model defined in an AdS black hole that duals to a coupled two-component condensations in global $U(1)$ symmetry broken phase with intercomponent coupling $η$ and internal coherent coupling $ε$ is proposed.通过求解模型的动力学，我们研究了形成过程以及从分数到整数涡流阶段的交叉。随着$η$从零变为有限的值，分数涡流晶格从六角形到方格晶格过渡，最后是涡流片。通过继续打开$ε$，我们发现不同组件中的两个分数涡流构成二聚体，当$η$超越关键值时，将出现由两个和三个二聚体组成的多二聚体。随着$ε$的不断增加，一些二聚体旋转以调节自己，然后构成整数涡流的晶格。在类似于旋转旋转动力学实验的初始条件下，在分数涡流产生的过程中发现了无序湍流的出现，该过程与实验观察相匹配。在整数涡流的形成过程中，预测凹槽的出现。
In order to study the rotating strongly coupled Bose-Einstein condensations(BEC), a holographic model defined in an AdS black hole that duals to a coupled two-component condensations in global $U(1)$ symmetry broken phase with intercomponent coupling $η$ and internal coherent coupling $ε$ is proposed. By solving the dynamics of the model, we study the process of formation and also the crossover from fractional to integer vortex phases. With changing only $η$ from zero to a finite value, fractional vortex lattices undergo a transition from hexagon to square lattice and finally to vortex sheets. By continuing to turn on $ε$, we find that two fractional vortices in different components constitute dimers, and when $η$ transcend a critical value, multi-dimer like hexamer or tetramer made up of two and three dimers appear. As $ε$ keeps increasing, some dimers rotate to adjust themselves and then constitute the lattice of integer vortices. Under an initial conditions similar to an spinor BEC vortices dynamics experiment, the appearance of disordered turbulence is found in the process of fractional vortex generation, which matches the experimental observation. While in the formation process of integer vortices, the appearance of grooves is predicted.
