PROPERTIES OF A DEFORMED JAYNES-CUMMINGS MODEL

It is shown that various variants of the deformed Jaynes-Cummings model (JCM) correspond to the JCM with an intensity-dependent coupling characterized by two additional phenomenological parameters (p,q). The standard JCM is obtained for p = q = 1. The quantum collapse and revival effects and the squeezing properties of a particular variant of the (p,q)-deformed Jaynes-Cummings model are studied numerically. The model is based on the q-deformed oscillator algebra AA(dagger) - qA(dagger)A = 1 that interpolates between Fermi-Dirac and Bose-Einstein statistics. If the cavity field is prepared initially in a q-deformed coherent state, the quantum collapse and revival effects are observed only for q almost-equal-to 1. For q > 1, the atomic inversion [sigma3(t)] exhibits chaoticlike behavior, which is a feature observed also in other q-deformed JCM's. Strong squeezing is observed only for small positive and small negative q values. If q almost-equal-to 1, the squeezing is very weak. In the limit q = 1 +/- epsilon with epsilon much less than 1, the algebra can be interpreted as describing a small violation of Bose-Einstein statistics in the JCM.