  We propose the simple quantum model of nonlinear autonomous oscillator in
hard excitation regime. We originate from classical equations of motion for
similar oscillator and quantize them using the Lindblad master equation for the
density matrix of this system. The solution for the populations of the
stationary states of such oscillator may be explicitly found in the case when
nonlinearity parameters of the problem are small. It was shown that in this
situation there are three distinct regimes of behavior of the model. We compare
properties of this model with corresponding ones of close open system, namely
quantum oscillator in soft excitation regime. We discuss a possible
applications of the results obtained.
