Atomic nonclassical correlation dynamics induced by open resonance qubit-cavity interactions: Kerr-like medium and Stark shifts effects

In this study, we investigate the dynamics of local quantum uncertainty (LQU), local quantum Fisher information (LQFI), and logarithmic negativity (LN), in a qubit–cavity system operating under two-photon resonance conditions. The system comprises two two-level atoms (qubits) interacting with a quantized electromagnetic field inside a cavity filled with a nonlinear Kerr-like medium. The model incorporates intensity-dependent Stark shifts, which strongly modulate the evolution of the qubit states. Dissipative effects such as atomic spontaneous emission and cavity losses are accounted for via a Lindblad-type master equation, enabling a realistic description of the system’s open quantum dynamics. Our analysis reveals that two-photon processes can dynamically generate substantial quantum correlations even when the initial atomic state is separable. We find that, for example, with an initial Fock state of photons and moderate dissipation rates (), the LQFI peaks near 0.82 at, while entanglement–as quantified by LN–exhibits periodic revivals before decaying. The strength and persistence of these quantum resources are highly sensitive to the initial photon number, Kerr nonlinearity, and Stark shift parameters. These results offer valuable insights into optimizing nonclassical resources in nonlinear, lossy quantum optical systems, with implications for quantum metrology, communication, and control in cavity-QED architectures.