Abstract
The damped harmonic oscillator is arguably the simplest open quantum system worth studying. It is also of great practical importance because it is an essential ingredient in the theoretical description of many quantum-optical experiments. One can assume rather safely that the quantum master equation of the simple harmonic oscillator would not be studied so extensively if it did not play such a central role in the quantum theory of lasers and the masers. Not surprisingly, then, all major textbook accounts of theoretical quantum optics [1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13],[14],[15] contain a fair amount of detail about damped harmonic oscillators. Fock state representations or phase space functions of some sort are invariably employed in these treatments.
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Englert, BG., Morigi, G. (2002). Five Lectures on Dissipative Master Equations. In: Buchleitner, A., Hornberger, K. (eds) Coherent Evolution in Noisy Environments. Lecture Notes in Physics, vol 611. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45855-7_2
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