报告摘要：In this talk, I will give two examples of how certain exotic geometric structures can emerge from the dynamics of quantum systems. First, I will focus on the dynamics of quantum liquids whose evolutions are governed by hydrodynamic equations. We proved that the dynamics of a strongly-interacting quantum gas can be mapped to that of an ideal gas under certain condition[1]. We call this mapping the idealized hydrodynamics and show that it explains a recent puzzling experimental observation by the Pairs group in ultracold atomic gas[2]. In the second part, I will reveal the connection of a self-similar fractal and the time evolution of a quantum system with scaling symmetry[3]. In particular, I will show that a well-studied fractal function, the Weierstrass function, arises naturally from the time evolution of a single particle moving in an inverse square function.
Reference:
[1] ZYS, Chao Gao, Hui Zhai, arXiv:2011.01415 (2020)
[2] R. Saint-Jalm, P. C. M. Castilho, É. Le Cerf, B. Bakkali-Hassani, J.-L. Ville, S. Nascimbene, J. Beugnon, and J. Dalibard, Phys. Rev. X 9, 021035 (2019)
[3] Chao Gao, Hui Zhai and ZYS, Phys. Rev. Lett. 122 (23), 230402 (2019)
报告人简介：史哲雨， 2011年毕业于清华大学物理系，2016于清华大学高等研究院取得博士学位，2016-2019年于澳大利亚莫纳什(Monash University)从事博士后工作，2019年回国后加入华东师范大学精密光谱科学与技术国家重点实验室任研究员。史哲雨研究员的主要研究方向为超冷原子与分子气体理论，包括强相互作用量子气体，幺正费米气体中的少体与多体物理等。在Science, Phys. Rev. Lett.等期刊发表论文。