13 FIG. 1: Plot of the overlap | D$_{γ}$ | 2 between various bare states and the eigenstates | γ 〉 as a function of the energy E$_{γ}$ : (a) | + , 0 〉 , |− , 0 〉 , (b) | + , 0 〉 , |− , 2 〉 , (c) | + , 2 〉 , |− , 2 〉 . The data points for the first of each pair are connected by a solid line whereas the data points for the second of each pair are connected by solid lines. Data are for the parameters ω = 2 π GHz, ω$_{0}$ = 2 π × 100 MHz, g$_{r}$ = g$_{nr}$ = 2 π GHz and g$_{ph}$ = 0.  0  0.05  0.1  0.15  0.2  0.25  0.3  0.35 -1  0  1  2  3  4  5 | D | 2 E (10 10 Hz) (a)  0  0.05  0.1  0.15  0.2  0.25  0.3  0.35 -1  0  1  2  3  4  5 | D | 2 E (10 10 Hz) (b)  0  0.02  0.04  0.06  0.08  0.1  0.12  0.14  0.16  0.18 -1  0  1  2  3  4  5 | D | 2 E (10 10 Hz) (c)