Consider the resonant Jaynes–Cummings model with the atom initially in the excited state and the…

Consider the resonant Jaynes–Cummings model with the atom initially in the excited state and the field initially in a coherent state with _ = _30.  (a) By taking the trace of the density operator over either the atomic or field states and thus obtaining a reduced density operator (see Appendix A), determine the degree to which the atom and field are entangled as a function of time. Pay particular attention to what happens at about midpoint between the initial collapse of the Rabi oscillations and the first revival. Is the behavior surprising? What connection, if any, is there between the result you have obtained and the results discussed in Section 4.10.  (b) Obtain plots (either contour or 3D) of the Q function (Eq. (3.112)) of the field for various times between time t = 0 and the time of the first revival of the Rabi oscillations

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