JAYNES-CUMMINGS MODEL AND THE DEFORMED-OSCILLATOR ALGEBRA

We study the time evolution of the deformed Jaynes-Cummings model (DJC M). It is shown that the standard JCM and its recent non-linear genera lizations involving the intensity-dependent coupling and/or the multip hoton coupling are only particular cases of the DJCM. The time evoluti on of the mean phonon number and the population inversion are evaluate d. A special case of the q-deformed JCM is analyzed explicitly. The lo ng time quasi-periodic revival effects of the q-deformed JCM are obser ved for q almost-equal-to 1 and an initially large mean photon number. For other values of the deformation parameter q we observe chaotic-li ke behaviour of the population inversion. Photons are assumed to be in itially in the deformed coherent state.