Inchworm Monte Carlo method for open quantum systems

Title: Inchworm Monte Carlo method for open quantum systems 

Speaker: Prof. Zhenning Cai (National University of Singapore)

Time: 4:00-6:00pm, Apr. 17 

Location: Room 200-9, Sir Shaw Run Run Business Administration building, School of Mathematical Sciences, Yuquan Campus 

Abstract: We investigate in this work a recently proposed diagrammatic quantum Monte Carlo method ― the inchworm Monte Carlo method ― for open quantum systems. We establish its validity rigorously based on resummation of Dyson series.  Moreover, we introduce an integro-

differential equation formulation for open quantum systems, which illuminates the mathematical structure of the inchworm algorithm. This new formulation leads to an improvement of the inchworm algorithm by introducing classical deterministic time-integration schemes. Similar ideas can help us to explore new models and develop more efficient numerical methods. 

Contact Person: Qinghai Zhang (qinghai@zju.edu.cn)