Inclusion-exclusion principle for open quantum systems with bosonic bath

Journal Article (Journal Article)

We present two fast algorithms which apply inclusion-exclusion principle to sum over the bosonic diagrams in bare diagrammatic quantum Monte Carlo and inchworm Monte Carlo method, respectively. In the case of inchworm Monte Carlo, the proposed fast algorithm gives an extension to the work [2018 Inclusion-exclusion principle for many-body diagrammatics Phys. Rev. B 98 115152] from fermionic to bosonic systems. We prove that the proposed fast algorithms reduce the computational complexity from double factorial to exponential. Numerical experiments are carried out to verify the theoretical results and to compare the efficiency of the methods.

Full Text

Duke Authors

Cited Authors

  • Yang, S; Cai, Z; Lu, J

Published Date

  • June 1, 2021

Published In

Volume / Issue

  • 23 / 6

International Standard Serial Number (ISSN)

  • 1367-2630

Digital Object Identifier (DOI)

  • 10.1088/1367-2630/ac02e1

Citation Source

  • Scopus