Skip to main content
Journal cover image

Inchworm Monte Carlo Method for Open Quantum Systems

Publication ,  Journal Article
Cai, Z; Lu, J; Yang, S
Published in: Communications on Pure and Applied Mathematics
November 1, 2020

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. © 2020 Wiley Periodicals, Inc.

Duke Scholars

Published In

Communications on Pure and Applied Mathematics

DOI

EISSN

1097-0312

ISSN

0010-3640

Publication Date

November 1, 2020

Volume

73

Issue

11

Start / End Page

2430 / 2472

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Cai, Z., Lu, J., & Yang, S. (2020). Inchworm Monte Carlo Method for Open Quantum Systems. Communications on Pure and Applied Mathematics, 73(11), 2430–2472. https://doi.org/10.1002/cpa.21888
Cai, Z., J. Lu, and S. Yang. “Inchworm Monte Carlo Method for Open Quantum Systems.” Communications on Pure and Applied Mathematics 73, no. 11 (November 1, 2020): 2430–72. https://doi.org/10.1002/cpa.21888.
Cai Z, Lu J, Yang S. Inchworm Monte Carlo Method for Open Quantum Systems. Communications on Pure and Applied Mathematics. 2020 Nov 1;73(11):2430–72.
Cai, Z., et al. “Inchworm Monte Carlo Method for Open Quantum Systems.” Communications on Pure and Applied Mathematics, vol. 73, no. 11, Nov. 2020, pp. 2430–72. Scopus, doi:10.1002/cpa.21888.
Cai Z, Lu J, Yang S. Inchworm Monte Carlo Method for Open Quantum Systems. Communications on Pure and Applied Mathematics. 2020 Nov 1;73(11):2430–2472.
Journal cover image

Published In

Communications on Pure and Applied Mathematics

DOI

EISSN

1097-0312

ISSN

0010-3640

Publication Date

November 1, 2020

Volume

73

Issue

11

Start / End Page

2430 / 2472

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics