Inchworm Monte Carlo method for open quantum systems
Mathematical Physics
2019-06-18 v2 math.MP
Computational Physics
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. The numerical method is validated by applications to the spin-boson model.
Cite
@article{arxiv.1811.08044,
title = {Inchworm Monte Carlo method for open quantum systems},
author = {Zhenning Cai and Jianfeng Lu and Siyao Yang},
journal= {arXiv preprint arXiv:1811.08044},
year = {2019}
}