发表机构
University of California, Los Angeles（加州大学洛杉矶分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究两组分凝聚体中非阿贝尔涡旋的拓扑分类，发现由能量弦连接的基本涡旋对及Brunnian涡旋，并据此设计非易失性存储器件。
AI 中文摘要
我们研究了在两组分凝聚体的二维薄膜中出现的非阿贝尔涡旋的拓扑分类和性质。对于凝聚体之间的排斥相互作用，我们在三个复数的有序构型空间$\mathcal C_3(\mathbb C)$中实现了一个序参量。通过分析同伦性质，我们发现由能量弦连接的基本非阿贝尔涡旋-反涡旋对的涌现，这些能量弦源于排斥相互作用并携带非阿贝尔信息。此外，我们预测了Brunnian涡旋的存在，这是一种具有凝聚体相位零净绕数的纹理，只能通过高阶绕数来检测。最后，为了推动基于非阿贝尔涡旋输运的技术应用，我们设计了一种非易失性存储器件，用于编码拓扑鲁棒信息。
英文摘要
We investigate the topological classification and properties of nonabelian vortices that arise in a 2-dimensional film of a two-component condensate. For a repulsive interaction between the condensates, we realize an order parameter in the ordered configuration space of three complex numbers $\mathcal C_3(\mathbb C)$. Analyzing the homotopic properties, we find the emergence of elementary nonabelian vortex-antivortex pairs connected by energetic strings that are rooted in the repulsive interaction and carry the nonabelian information. Moreover, we predict the existence of Brunnian vortices, which are textures exhibiting zero net winding of the condensate phases and can only be detected by a higher-order winding number. Finally, to motivate technological applications rooted in nonabelian vortex transport, we devise a nonvolatile memory storage device that encodes topologically robust information.
Comments8 pages, 4 figures
