QST Seminar - Lee-Yang Theory, Complex Phase Diagram and Supercritical Matter
The supercritical region is often described as uniform with no definite transitions. The distinct behaviors of the matter therein, e.g., as liquidlike and gaslike, however, suggest "supercritical boundaries." Here I’ll provide a mathematical description of these phenomena by revisiting the Yang-Lee theory and introducing a complex phase diagram, specifically a four-dimensional (4D) one with complex T and p. The description is evidenced by the correlation between the Widom line and LY edges in van der Waals, 2D Ising model, and water, and these results demonstrate the incipient phase transition nature of the supercritical matter. Finally, I’ll discuss the detection of the Lee-Yang zeros using approaches of quantum measurement. (Ref: Phys. Rev. E 109, 024118 (2024)
Xiaoyu has just received his B.S. in physics from Peking University, where he has been focusing on the research of phase transition, supervised by Prof. Xin-Zheng Li. This fall he's going to be an incoming Ph.D. student at Caltech in Prof. Garnet Chan's group, exploring on topics such as electronic structure calculation, strong correlation problem and more quantum chemistry methods.