A Derivation of Moment Evolution Equations for Linear Open Quantum Systems
Shan Ma, Matthew J. Woolley, and Ian R. Petersen
TL;DR
This paper provides a detailed derivation of the moment evolution equations for linear open quantum systems described by Lindblad master equations, filling a gap in the literature.
Contribution
It explicitly derives the moment evolution equations from the Lindblad master equation, a derivation not previously documented in detail.
Findings
Explicit derivation of moment evolution equations provided
Clarifies the connection between master equations and moments
Serves as a reference for researchers working with open quantum systems
Abstract
Given a linear open quantum system which is described by a Lindblad master equation, we detail the calculation of the moment evolution equations from this master equation. We stress that the moment evolution equations are well-known, but their explicit derivation from the master equation cannot be found in the literature to the best of our knowledge, and so we provide this derivation for the interested reader.
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