Steady state Wigner functions of the quantum microwave system. Densityplots of steady state Wigner functions of the quantum microwave system forvarious parameter regimes. The Wigner function is plotted wherex and y are two quadratures of the microwave field. Thesenine plots show the quantum steady states that correspond to the parameters ofthe nine black circles in Figure 3. Specifically,from top-left to bottom-right, moving form left to right, then top to bottom,these parameter values are: . The otherparameters are set to unity for the purpose of having a Wigner density well inside the number basistruncation. The quantum steady state shows clear signs of the semi-classicalbifurcations it undergoes. Particular comparison can be made to thesemi-classical steady states of Figure 4. Thequantum steady state has support centred on the semi-classical stable fixedpoints.