Nonclassical properties of the integrability condition of the time-dependent SU(2) quantum system

In this paper, we treat the problem of the multi-photon Tavis-Cummings classically, where the effect of time-dependence takes place. Under certain integrability conditions the time-dependent wave function in the Schrodinger picture is obtained. Some statistical properties of the system are discussed based on the solution for the equations of motion in the Heisenberg picture. Using the atomic coherent state as a basis, the phenomenon of squeezing is observed in the quadrature variances F-x and F-y; however, it was pronounced in the quadrature F-y. The phenomenon of squeezing is also reported for the usual atomic state case where squeezing is only observed in the first quadrature F-x. An examination of the correlation function using the atomic state showed us that the system is sensitive to variation in the integrability parameter beta. The nonclassical effect is also found to be pronounced for small values of the parameter beta.