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.
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