We study the time evolution of three quantifiers of nonclassical correlations, namely uncertainty-induced nonlocality (UIN), trace distance discord (TDD), and logarithmic negativity (LN), in a hybrid spin-cavity system with anisotropic XY interactions and two-photon spin-field coupling. We examine how the interaction parameters, including the anisotropy strength, initial photon number, spin-cavity coupling, spin-spin interaction, and spin-cavity detuning, influence the resulting two-qubit correlations. Our results show that both spin-cavity and spin-spin couplings can efficiently generate UIN, TDD, and entanglement, each exhibiting distinct oscillatory features, and we further evaluate the robustness of these features as the other interaction parameters increase. In the presence of cavity dissipation and spontaneous emission, entanglement is rapidly suppressed and may undergo entanglement sudden death, whereas UIN and TDD remain noticeably nonzero over longer times despite the damping of their oscillations. Overall, our findings provide a comparative characterization of entanglement and discord-like correlations in a dissipative spin-cavity platform and highlight the greater persistence of UINand TDD-type correlations within the present dissipative framework.
Mohamed et al. (Fri,) studied this question.