New Perspectives on Quantum Teleportation and Entropic Uncertainty in a Nonlinear Two-Atom System

In this paper, we examine two crucial aspects of quantum information processing: the dynamics of entanglement in atom-field interactions and the fidelity of quantum teleportation under nonlinear effects. We analyze entanglement and quantum entropic uncertainty in a system of two-level atoms coupled to a Fock-state cavity field, taking into account the effects of the Kerr medium and the Stark shift. Our findings reveal phenomena such as entanglement, sudden death, and revival, with these occurrences becoming more frequent at higher Kerr and Stark parameters. Furthermore, we investigate the dynamics of average fidelity in a quantum teleportation protocol, focusing on the roles of the input state angle θ and the nonlinear coupling strength χ1. Fideism exhibits periodic behavior, achieving optimal values in specific parameter settings, particularly when θ = π. These insights significantly enhance our understanding of quantum entanglement control and high-fidelity teleportation, which are essential for advancing quantum communication, cryptography, and measurement protocols.