Jinyeop Lee

https://sites.google.com/view/jinyeoplee/ 

Speaker at the Spring Time in Mathematical Quantum Physics Workshop ( UBC, May 2025)

Title: Derivation of the Chern–Simons–Schrödinger equation from the dynamics of an almost-bosonic-anyon gas

Abstract: We study the time evolution of an initial product state in a system of almost-bosonic-extended-anyons in the large-particle limit. We show that the dynamics of this system can be well approximated, in finite time, by a product state evolving under the effective Chern–Simons–Schrödinger equation. Furthermore, we provide a convergence rate for the approximation in terms of the radius $R = (\log N)^{\frac12 + \varepsilon}$ of the extended anyons. These results establish a rigorous connection between the microscopic dynamics of almost-bosonic-anyon gases and the emergent macroscopic behavior described by the Chern–Simons–Schrödinger equation.