|报告题目||Emergent Geometries from Quantum Dynamics|
|报告时间||2021-04-02 (周五) 10:00|
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. 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. 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. 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.