Skew information correlations and coherence in the Ising-XYZ diamond chain under an external magnetic field

This research investigates the interplay between coherence and skew information correlations in the Ising- \({\textbf {XYZ}}\) $\mathbf{XYZ}$ diamond chain, which includes both Ising and Heisenberg spin particles in the presence of an external magnetic field. The initial step involves determining the reduced density matrix using the transfer matrix approach (TMA). Following this, quantum correlations and coherence in the Ising- \({\textbf {XYZ}}\) $\mathbf{XYZ}$ diamond chain are quantified using uncertainty-induced nonlocality (UIN), local quantum uncertainty (LQU), and the \(\ell _1\) ${\ell }_1$ norm of coherence ( \(C_{\ell _1}\) $C_{{\ell }_1}$ ). The study examines the impact of thermal noise and various system parameters, such as the xy-anisotropy \(\alpha\) $\alpha$ , Heisenberg interaction \(\Gamma\) $\mathrm{\Gamma }$ among interstitial sites, Ising spin exchange \(J_1\) $J_1$ , and magnetic field strength, on the dynamics of quantum resources within the system. The results indicate that both temperature and magnetic field negatively affect these quantum properties. Conversely, values of the xy-anisotropy parameter enhance quantum correlation and coherence, mitigating the detrimental impact of absolute temperature. This research offers significant insights into the behavior of quantum resources in this specific system.