Influence of nonlinear quantum dissipation on the dynamical properties of the f-deformed Jaynes-Cummings model in the dispersive limit

Abstract

In this paper, we give a fully analytical description of the dynamics of an atom-field system, described by an f-deformed Jaynes-Cummings model, in the presence of nonlinear quantum dissipation and in the large detuning approximation. By solving analytically the f-deformed Liouville equation for the density operator at zero temperature, we explore the influence of nonlinear quantum dissipation on dynamical behavior of the atom-field system. Considering the field to be initially in a q-deformed coherent state, it is found that in the presence of nonlinear quantum dissipation (i) the amplitude of the entanglement between the field and the atom decreases with time, (ii) the sub-Poissonian characteristic of the initial cavity-field is enhanced at the initial stages of the evolution, but as time goes on the photon counting statistics asymptotically tends to the Poissonian statistics, and (iii) each of the two quadrature components of cavity-field exhibits damped oscillatory squeezing in the course of time and their quantum noises are asymptotically stabilized at the standard quantum limit.