Thermal and squeezed vacuum Jaynes-Cummings models with a Kerr medium

摘要

The dynamics of the Jaynes-Cummings (JCM) model with a nonlinear Kerr medium at initially thermal and squeezed vacuum fields is discussed. At a special choice of the detuning the Rabi frequency can have a minimum at the initial mean photon number n-bar. Then the situation becomes especially interesting and instead of the first-order 'usual' revivals resembling those manifested by the standard coherent JCM, the nonlinear JCM exhibits second-order revivals, also for initially thermal and squeezed vacuum fields, at least for not too large n-bar. The revival times are highly sensitive to the nature of n-bar. In the first case the revival period of the oscillations is dependent on whether n-bar is integer or non-integer (situation similar to an initially coherent field) while in the latter case it depends additionally on the parity of the integer n-bar. Moreover, for the squeezed vacuum model appearance of the revivals at an integer n-bar is accelerated when compared to coherent and thermal models.