Figure 4

Semi-classical steady states of the microwave system for different regionsof the phase diagram. Semi-classical steady states of the microwavesystem for different regions of the ‘phase diagram’ inFigure 3. These nine plots show thesemi-classical fixed points that correspond to the parameters of the nine blackcircles in Figure 3. Specifically, from top-left tobottom-right, moving form left to right, then top to bottom, these parametervalues are: ({\kappa }^{\prime },{\Delta }^{\prime })=(0,10),(5,10),(0,0),(5,0),(0,-10),\text{ and }(5,-10). The coloursindicate stability; the green circle markers are stable fixed points, and thered cross markers are unstable fixed points. Clearly visible are thequalitative differences in each region separated by the semi-classicalbifurcations. These semi-classical fixed points can be compared with thequantum steady state Wigner functions for the same set of parameters inFigure 6.