报告题目：An Efficient Deterministic Pure-State Formulation of on-Markovian Open Quantum Dynamics

主讲人：蔡振宁副教授（新加坡国立大学）

时间：2026年10月30日（周五）11:00 a.m.

地点：南院行远楼D101

主办单位：统计与数学学院

摘要：

Developing general-purpose numerical methods for non-Markovian quantum state diffusion has long been a challenge in the simulation of open quantum systems. Based on the non-Markovian stochastic Schrodinger equation, we proposes a deterministic pure-state Galerkin method, providing an easy, accurate, and efficient way to simulate non-Markovian open quantum dynamics. By combining a low-rank decomposition of bath correlations with Galerkin projection onto a stochastic basis, the method yields a deterministic pure-state formulation compatible with standard numerical solvers for partial differential equations. The reduced density matrix is obtained from a single deterministic solve at a cost comparable to that of computing one stochastic hierarchy trajectory. Benchmark comparisons show that the proposed method achieves smaller errors at much lower computational cost than the tested stochastic hierarchy methods. Applications involving nonquadratic potentials, diffraction and interference, and coupled three-dimensional dynamics demonstrate its ability to handle challenging problems.

主讲人简介：

蔡振宁，新加坡国立大学副教授。2008年于北京大学获理学学士学位，2013年于北京大学获计算数学方向博士学位。2014年至2015年获德国洪堡基金会资助于亚琛工业大学做博士后研究，2016年先后于美国马里兰大学和杜克大学担任访问助理教授。主要研究方向包括气体动理学的建模与计算、开放量子系统的模拟以及量子色动力学中复Langevin方法的理论研究，在国际学术期刊发表论文四十余篇。