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Diagrammatic representation and nonperturbative approximation of exact time-convolutionless master equation
Published 18 Oct 2023 in quant-ph, math-ph, math.MP, and physics.chem-ph | (2310.11729v1)
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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