Fig. 4.

(Color online) Superposition of Fock number states as initial state for the photon mode: In A we display the dipole of the exact (black) and mean-field (red) time evolution. In B we contrast the exact $Q\left(t\right)$ (solid black) and $\gamma \left(t\right)$ (dotted black) with the corresponding mean-field values (red). In C, F, I, and L, we show the corresponding Mxc potentials at different times ($t=\mathrm{0,1.56},\hspace{0.17em}13.92,\hspace{0.17em}\text{and}\hspace{0.17em}37.83\hspace{0.17em}\text{ps}$); in D, G, J, and M, we show the corresponding diagonal cuts of the Mxc potentials; and in E, H, K, and N, we present the corresponding densities. Movie S3 shows the full time evolution from 0 to 50 ps.