Fast algorithms of bath calculations in simulations of quantum system-bath dynamics

Journal Article (Journal Article)

We present fast algorithms for the summation of Dyson series and the inchworm Monte Carlo method for quantum systems that are coupled with harmonic baths. The algorithms are based on evolving the integro-differential equations where the most expensive part comes from the computation of bath influence functionals. To accelerate the computation, we design fast algorithms based on reusing the bath influence functionals computed in the previous time steps to reduce the number of calculations. It is proven that the proposed fast algorithms reduce the number of such calculations by a factor of O(N), where N is the total number of time steps. Numerical experiments are carried out to show the efficiency of the method and to verify the theoretical results.

Full Text

Duke Authors

Cited Authors

  • Cai, Z; Lu, J; Yang, S

Published Date

  • September 1, 2022

Published In

Volume / Issue

  • 278 /

International Standard Serial Number (ISSN)

  • 0010-4655

Digital Object Identifier (DOI)

  • 10.1016/j.cpc.2022.108417

Citation Source

  • Scopus