POPULATION TRAPPING IN THE JAYNES-CUMMINGS MODEL WITH A KERR NONLINEARITY IN THE CAVITY

An electromagnetic held state is found which maintains the population inversion of the atom stationary during the interaction with the field through a Jaynes-Cummings model (JCM) with a Kerr type nonlinearity i n the cavity. The condition of stationarity of the population inversio n includes the phase coupling of atomic dipole with the field. We have shown that the Kerr nonlinearity in the cavity field significantly mo difies the photon statistics of the trapped field state through an int ensity dependent detuning in the field compared to the normal JCM trap ping state. We have also demonstrated the novel features of sub-Poisso nian character and the squeezing of the trapped field state. The dynam ics of the initial trapped field is studied in terms of squeezing and the g-function.