Nonclassical features of an open qubit cavity QED system

We investigate the dynamics of quantum correlations and measurement uncertainty in a two-qubit system coupled to a cavity-QED system, characterized by various parameters such as qubit and cavity frequencies under resonant and off-resonant conditions, with equal and unequal coupling strengths. We emphasize asymmetric qubit relaxation and dephasing mechanisms, accompanied by cavity decay. In certain scenarios, separable initial states can outperform entangled states in maintaining quantum correlations over longer periods. We further uncover a trade-off between quantum correlations, measurement uncertainty, and mutual information. Additionally, we demonstrate that asymmetries in coupling strengths or qubit frequencies can enhance quantum correlations and induce irregular oscillations, suggesting new strategies for engineering robust quantum resources in open quantum systems. In comparison, we find that qubit relaxation leads to less decay than qubit dephasing. In contrast, quantum correlations are preserved much longer with appropriate tuning of the cavity decay rate. Finally, the concept of quantum speed limit is employed to assess the resourcefulness of our configuration.