Exploring phase space properties of nonlinear Kerr-cavity interacting with a qubit: Spontaneous-emission damping effect

In our work, we have explored the phase space nonlinear coherent-Kerr-cavity nonclassicality and purity loss induced by off-resonant intensity-dependent cavity-qubit interactions under atomic spontaneous-emission dissipation effect. The generation of the cavity purity loss (mixedness) dynamics, by using von Neumann entropy, is linked to the nonclassicality's Wigner distribution dynamics, which is investigated at spastic times chosen based on the von Neumann entropy's cavity dynamics. The temporal evolution of the largest negativity of the Wigner distribution is investigated under the physical system effects of the qubit spontaneous-emission dissipation, the detuning as well as the coherent-Kerr-cavity nonlinearity. The growths and the stability of the purity loss and the Wigner distribution negativity loss have the same behaviors. They depend on the Kerr-like nonlinearity and the dissipation couplings. These losses and their stability can be enhanced by increasing the dissipation coupling. It is found that the nonclassicality's phase space Wigner quasi-probability distribution and the mixedness of the generated coherent-Kerr-cavity states are highly sensitive to the physical system effects.