Using the master equation approach, we investigate the stationary regime of a single-emitter laser: an incoherently pumped single two-level system interacting with a single cavity mode of finite finesse. We analyze the closed equation for the phase-averaged Glauber-Sudarshan P function and obtain its approximate solution. This solution has some advantages over the previously results. In particular it manifests conversion from the Gauss-type distribution to the oscillating quasi-probability when transition from the weak to the strong coupling regime takes place.
Using the master equation for the density operator of the laser field, we constructed an analytic model of a single emitter laser under a strong atom-field coupling in the non-stationary regime, that is obtained by coupling constant modulation at the defined frequency. The model demonstrated the emergence of a harmonic force, that partially compensates for relaxation processes in the quantum system. The mechanism of force occurrence, is described by changing the coupling constant.
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