报告题目 (Title):Simulating the nonequilibrium Green’s function by dynamic mode decomposition and operator learning(动态模态分解与算子学习模拟非平衡格林函数)
报告人 (Speaker):印佳 青年研究员(复旦大学)
报告时间 (Time):2025年11月20日 (周四) 10:00
报告地点 (Place):校本部 GJ303教室
邀请人(Inviter):涂一辉
报告摘要:Computing the numerical solution of the Kadanoff-Baym equations (KBEs), a set of nonlinear integral differential equations satisfied by the two-time Green’s functions derived from many-body perturbation theory for a quantum many-body system away from equilibrium, is a challenging task. In this talk, I will report our recent efforts on extrapolating the two-time Green’s function by applying dynamic mode decomposition (DMD) and recurrent neural networks (RNN)-based operator learning. These methods require constructing models from the numerical solution of the KBE within a small time window to extrapolate both the time-diagonal and off-diagonal elements of the Green’s function. We demonstrate the efficiency and accuracy of these approaches by applying it to Hubbard model problems.