# Title: Diagrammatic algorithms for open quantum systems

Simulating open quantum systems is challenging due to its high dimensionality. The recently proposed inchworm algorithm provides an efficient strategy to reduce the bath degree of freedom based on diagrammatic resummation techniques. In this talk, we will discuss some recent progress in mathematical understanding of such diagrammatic algorithms. In particular, we will introduce a new algorithm for open quantum systems based on an integral-differential equation formulation.

*Jianfeng Lu is an Associate Professor of Mathematics, Chemistry, and Physics at Duke University. He received the Ph.D. in Applied and Computational Mathematics from Princeton University in 2009. Before joining Duke University in 2012, he was a Courant Instructor at New York University. As an applied mathematician, Jianfeng Lu works on applied analysis and numerical algorithms for problems from computational physics, theoretical chemistry, materials science, and related fields.*