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

Abstract

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 Schrödinger 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 Fx and Fy; however, it was pronounced in the quadrature Fy. The phenomenon of squeezing is also reported for the usual atomic state case where squeezing is only observed in the first quadrature Fx. An examination of the correlation function using the atomic state showed us that the system is sensitive to variation in the integrability parameter β. The nonclassical effect is also found to be pronounced for small values of the parameter β.

Quantum treatment for three waves mutually interacting with a single two-level atom

“…Extensions of JCM include effects like a multi-atom system, a multi-level atom and a multi-mode cavity field. It is noted that there is a strong connection between field-field, atom-field and atom-atom interactions; for more details see [28][29][30]. This in fact stimulated and encouraged us to study the effect of the interaction between three coupled field modes and a single two-level atom.…”