English

Diagrammatic representation and nonperturbative approximation of exact time-convolutionless master equation

Quantum Physics 2023-10-19 v1 Mathematical Physics math.MP Chemical Physics

Abstract

The time-convolutionless master equation provides a general framework to model non-Markovian dynamics of an open quantum system with a time-local generator. A diagrammatic representation is developed and proven for the perturbative expansion of the exact time-local generator for an open quantum system interacting with arbitrary environments. A truncation of the perturbation expansion leads to the perturbative time-convolutionless quantum master equations. We further introduce a nonperturbative approach that approximates the time-convolutionless generator as a nested time-ordered exponential function.

Keywords

Cite

@article{arxiv.2310.11729,
  title  = {Diagrammatic representation and nonperturbative approximation of exact time-convolutionless master equation},
  author = {Bing Gu},
  journal= {arXiv preprint arXiv:2310.11729},
  year   = {2023}
}