Analytical study of thermal effect on non-classical correlations and entanglement between qubits system with Dzyloshinskii-Moriya interaction.

This study aims to investigates the impact of thermal effects on quantum correlations and entanglement in a two-qubit bipartite system modeled by the Heisenberg XXZ spin chain with Dzyaloshinskii-Moriya (DM) interaction along the Y-axis ( \(\mathfrak {D}_{y}\) ${\mathfrak{D}}_y$ ). Using both analytical and numerical methods, our study examines how temperature, the DM interaction parameter \(\mathfrak {D}_{y}\) ${\mathfrak{D}}_y$ , and the coupling coefficient J (which represents isotropy of the spin-spin interaction along the X and Y axes) influence entanglement, measured by concurrence, and general quantum correlations, quantified by quantum discord. The results reveal that entanglement and quantum discord are affected by temperature, although quantum discord persists beyond the critical temperature \(T_{c}\) $T_c$ where entanglement vanishes. Furthermore, the DM interaction mitigates thermal decoherence, with higher values of \(\mathfrak {D}_{y}\) ${\mathfrak{D}}_y$ slowing the decay of quantum correlations as temperature increases. These results are significant for developing thermally resilient quantum systems and advancing quantum information processing.