Abstract
It is generally not possible to solve an operator master equation directly to find ρ(t) in operator form. We have seen, however, that alternative methods of analysis are available. We can derive equations of motion for expectation values and solve these for time-dependent operator averages. Alternatively, we may choose a representation and take matrix elements of the master equation to obtain equations of motion for the matrix elements of ρ. We have also seen how equations of motion for one-time operator averages can be used to obtain equations of motion for two-time averages (correlation functions) using the quantum regression theorem.
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(1993). Standard Methods of Analysis II. In: An Open Systems Approach to Quantum Optics. Lecture Notes in Physics Monographs, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-47620-7_5
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DOI: https://doi.org/10.1007/978-3-540-47620-7_5
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