Diagrammatic representation and nonperturbative approximation of exact
time-convolutionless master equation
- URL: http://arxiv.org/abs/2310.11729v1
- Date: Wed, 18 Oct 2023 05:59:15 GMT
- Title: Diagrammatic representation and nonperturbative approximation of exact
time-convolutionless master equation
- Authors: Bing Gu
- Abstract summary: We provide a general framework to model non-Markovian dynamics of an open quantum system with a time-local generator.
A truncation of the perturbation expansion leads to the perturbative time-convolutionless quantum master equations.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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