【报告题目】：Monopole, Index Theorem, and Vortex Kinetics in Spherical BEC
【报 告 人】：郑俊辉副教授，西北大学
【报告时间】：2026年5月11日（周一），14:30
【报告地点】：29-414
【报告摘要】：Magnetic monopoles are crucial in explaining the quantization of electric charges and quantum Hall effects, while artificially creating a minimal magnetic monopole in experiments remains a challenge. Here we propose a flexible way to simulate a half-integer-type monopole in Bose gases and investigate the corresponding vortex dynamics on a sphere. We reveal an index theorem that links vortex configurations to the topology of the gauge field, enabling the construction of vortex-monopole composites. Under the assumption of a rigid monopole-vortex structure, we derive the universal logarithmic interaction between composites, which governs the structure of the ground-state vortex lattice. By developing a kinetic theory, we predict scale-invariant vortex dynamics and an emergent dynamical correspondence between vortex-vortex and vortex-antivortex systems. This work uncovers a dynamical coupling mechanism between spatial geometry and gauge fields, providing deep insights into superfluid systems with topological gauge structures in curved space.
参考文献：
[1] X.-Y. Chen, L. Jiang, W.-K. Bai, T. Yang and J.-H.Zheng, Synthetic half-integer magnetic monopole and single-vortex dynamics in spherical Bose-Einstein condensates, Physical Review A 111, 033322 (2025).
[2] X.-Y. Chen, L. Jiang, T. Yang and J.-H.Zheng, Index theorem and vortex kinetics in Bose-Einstein condensates on a Haldane sphere with a magnetic monopole, Physical Review A, 113, L041304 (2026).
【报告人简介】:郑俊辉，西北大学现代物理研究所副教授、博士生导师。山东大学物理学系本科、北京大学硕士、新竹清华大学博士、德国歌德大学及挪威科技大学博士后。主要致力于量子模拟、拓扑态以及拓扑相变理论方面的研究。目前主持国家自然科学基金面上基金一项, 获陕西省人才项目, 发表论文30余篇。
