Inchworm Monte Carlo Method for Open Quantum Systems

被引：15

作者：

Cai, Zhenning ^{[1
]}

Lu, Jianfeng ^{[2
]}

Yang, Siyao ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Math, Level 4,Block S17,10 Lower Kent Ridge Rd, Singapore 119076, Singapore

[2] Duke Univ, Dept Math, Box 90320, Durham, NC 27708 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2020年 / 73卷 / 11期

基金：

美国国家科学基金会;

关键词：

REDUCED DENSITY-MATRICES; TENSOR PROPAGATOR; LINKED DIAGRAMS; TIME EVOLUTION; DYNAMICS; DIMENSION; EQUATIONS; MOTION;

D O I：

10.1002/cpa.21888

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2020 Wiley Periodicals, Inc.

引用

页码：2430 / 2472

页数：43

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