Steady-state quantum statistics of a non-Markovian atom laser. II

A non-Markovian steady state analysis of a fully quantum-mechanical atom laser model was carried out. It was demonstrated that a self-consistent Markov approximation is valid provided the laser is operating in a linewidth narrowing regime and the reservoir correlation time is sufficiently short. Furthermore, it was shown that the difference between the Born-Markov approximation and the more exact treatment is that the system frequency, occupation number, and effective damping may be shifted by the coupling process.