Interaction of a superconducting qubit and a nonlinear field under energy dissipative effect: entanglement and nonclassical properties

The present manuscript studies the temporal behavior of quantum entanglement and nonclassical properties for a superconducting-qubit ( SC qubit )- field system in the framework of deformed f-oscillator formalism. We introduce the nonlinear Jaynes-Cummings model by using the deformation of the mode field operators. Such a generalization of the Jaynes Cummings model that considers the interaction of a SC qubit with an electromagnetic field in the presence of a nonlinear Kerr-like medium and energy dissipation. We examine the effect of the detuning and decay parameters on the degree of the quantum entanglement, population inversion and field photon statistics. Finally, the relationship among quantum quantifiers is explored according to the optimal choice of the main parameters of the physical model.