Nonclassical and Nonlocal Properties of a Superconducting Qubit in the Presence of a Kerr-Like Medium Under Decoherence Effect

Superconducting qubits are leading candidates in the race to construct quantum computers capable of realizing computations beyond the reach of modern supercomputers. Here, we investigate the time evolution of the entanglement, photon statistics, and Wehrl entropy for a system of one superconducting qubit interacting with a single-mode field in the presence of a nonlinear Kerr-like medium under decoherence effect. By taking into account the influence of the Kerr-like medium and detuning, we discuss the dependence of the physical quantifiers on the phase damping effect by considering the exact solution of the master equation. We show that the control effect of the decoherence on the quantifiers may occur by adjusting the main model parameters. Finally, we explore the relationships among quantum quantifiers with respect to the physical parameters during the time evolution.