发表机构
Nordita, Stockholm University; Wilczek Quantum Center, Shanghai Institute for Advanced Studies, University of Science and Technology of China（诺尔迪塔，斯德哥尔摩大学; 费曼量子中心，上海高等研究院，中国科学院大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究双组分玻色–爱因斯坦凝聚体中Hopf纹理在Navier–Stokes爆破类比驱动下的折叠级联，发现原像对产生湮灭且首次跃迁符合Thom $A_2$平方根规律。
AI 中文摘要
双组分玻色–爱因斯坦凝聚体可承载赝自旋Hopf纹理，而其热云遵循粘性Navier–Stokes动力学。受OpenAI报告的有限时间奇异解的启发，我们使用有效Madelung–Schrödinger理论及类Faxén平流修正，以坍缩核心的替代物驱动此类纹理。该纹理经历折叠介导的原像对产生与湮灭，保持Hopf荷守恒，首次一至三跃迁被证实遵循Thom $A_2$的平方根开启。
英文摘要
A two-component Bose--Einstein condensate can host a pseudospin Hopf texture coupled to the viscous normal flow of its thermal cloud. Motivated by OpenAI's reported finite-time Navier--Stokes singular solution, we evolve such a texture in a smooth flow reproducing the geometry and similarity scaling of the collapsing axisymmetric core. The evolution creates and annihilates preimage pairs while preserving the Hopf charge. The first one-to-three transition exhibits the square-root opening characteristic of a Thom $A_2$ fold. A subsequent three-to-five transition precedes a burst-like regime of recurrent fold catastrophes and near-caustic activity.
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