Quantum flows associated to master equations in quantum optics
Franco Fagnola, Rolando Rebolledo, C. Saavedra · Journal of Mathematical Physics · 1994
A stochastic dilation of master equation for a maser is constructed using the technique of quantum stochastic differential equations with unbounded operator coefficients. The associated quantum Markov flow is characterized and turns out to extend a classical birth and death process. Furthermore, the stationary distribution of the aforementioned process, which is connected to the stationary state of the micromaser, is obtained in a closed form.