On the thermal nonclassical correlations in a two-spin XYZ Heisenberg model with Dzyaloshinskii–Moriya interaction

Abstract

The quantum correlations between two neighbouring anisotropic XYZ Heisenberg spins under the effect of Dzyaloshinskii–Moriya interaction at thermal equilibrium is considered. We evaluate and compare the negativity, uncertainty-induced quantum nonlocality and local quantum uncertainty corresponding to involved system. By exploiting the behaviour of each quantifier, in terms of the system parameters, we have shown that the uncertainty-induced quantum nonlocality can reveal certain non-classicality that goes beyond negativity and local quantum uncertainty. Further, we show that the presence of Dzyaloshinskii–Moriya interaction along the z-axis can reduce the undesirable destructive effects of thermal fluctuations, and therefore enhances quantum correlations in the two-spin system. In addition, an entangled–unentangled phase transition can be detected from the behaviour of negativity.