Abstract
The dynamics in open quantum systems is often described by quantum master equations (QMEs). Here a certain class of these master equations, the socalled time-local or time-convolutionless QMEs, are reviewed in combination with a decomposition of the spectral density which describes the coupling between system and environment. Details of the derivations are given jointly together with applications to damped harmonic oscillators, calculation of absorption spectra on one side, and molecular wires on the other side. In the first class of applications the environment consists of a bosonic heat bath while in the second case the environments are fermionic particle reservoirs.
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