学术报告20251017：Ferrodark solitons in trapped superfluids: spin corrections and emergent quadratic and quartic potentials

报告题目：Ferrodark solitons in trapped superfluids: spin corrections and emergent quadratic and quartic potentials

报告人：于小泉 研究员

报告摘要：We propose a framework for topological soliton dynamics in trapped spinor superfluids, decomposing the force acting on the soliton by the surrounding fluid into the buoyancy force and spin-corrections arising from the density depletion at soliton core and the coupling between the orbital motion and the spin mixing, respectively. For ferrodark solitons (FDSs) in spin-1 Bose-Einstein Condensates (BECs), the spin correction enables mapping the FDS motion in a harmonic trap to the atomic-mass particle dynamics in an emergent quartic potential. Initially placing a type-I FDS near the trap center, a single-sided oscillation happens, which maps to the particle moving around a local minimum of the emergent double-well potential. As the initial distance of a type-II FDS from the trap center increases, the motion exhibits three regimes: trap-centered harmonic and anharmonic, followed by single-sided oscillations. Correspondingly the emergent quartic potential undergoes symmetry breaking, transitioning from a single minimum to a double-well shape, where particle motion shifts from oscillating around the single minimum to crossing between two minima via the local maximum, then the motion around one of the two minima. In a hard-wall trap with linear potential, the FDS motion maps to a harmonic oscillator.

报告人简介：于小泉，中国工程物理研究院研究生院研究员。本科毕业内蒙古大学数理基地班，硕士毕业于首都师范大学数学科学院，2012年在意大利国际高等研究院(SISSA)获理论物理博士学位。先后在新西兰高等研究院(NZIAS)和新西兰奥塔哥大学(University of Otago)从事博士后研究。入选国家级高层次青年人才项目。目前主要研究兴趣为量子流体中的拓扑激发，量子湍流，以及量子无序系统。

报告时间：2025年10月17日14：00—15：00

报告地点：腾讯会议315-605-694

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内蒙古大学数学科学学院

2025年10月16日