QUANTUM ALGEBRA AS THE DYNAMIC SYMMETRY OF THE DEFORMED JAYNES-CUMMINGS MODEL

The q-deformations of the quantum harmonic oscillator are used for to describe the generalized Jaynes-Cummings model (JCM) by using the q-analog of the Holstein-Primakoff realization of the su(1,1). The corresponding dynamical symmetry is described by a quantum algebra. The q-analogs of the Barut-Girardello and the Perelomov coherent states are introduced and the expectation value of calculated. The periodic revivals of the generalized JCM are destroyed for increasing deformation parameter q. The deformed original JCM in the rotating-wave approximation can be described by the u(1-1)q, while its relaxation extends the dynamical algebra to the osp(2-2)q quantum superalgebra. © 1990 The American Physical Society.