THE DAMPED-VACUUM-FIELD JAYNES-CUMMINGS MODEL

We study the dynamics of a two-level atom interacting with a single mo de of a damped cavity at 0 K when the cavity is initially in the vacuu m state and the atom enters it in an arbitrary (pure or mixed) state. A complete analytical solution of this simple model is presented. On t he basis of this solution we firstly investigate the pseudo-spin dynam ics of the atom and the cavity field, secondly give an illustration of the Araki-Lieb theorem concerning the von Neumann entropies of intera cting quantum systems and thirdly demonstrate the generation of entang led states of the atom and cavity field that are of interest in connec tion with the Bell inequalities.