Quantum nonlocality in the spin-s Heisenberg models with the Dzyaloshinskii-Moriya interaction

Various measures of quantum nonlocality have been recently proposed. In this work, four indicators of measurement-induced nonlocality are studied for quantum thermal state with various couplings and temperatures in the spin-s Heisenberg models with the Dzyaloshinskii-Moriya interaction. Analytic and numerical calculations are presented for two cases of s = 1/2 and 1. It is shown that four indicators display similar behaviors at lower temperature. However, they have turning points at different couplings for a finite temperature. Remarkably, one or two indicators can increase, while others decrease as couplings or temperature enhances. The difference of nonlocality between two spinmodels is discussed. Those are helpful to further understand quantum nonlocality in the mixed states and to establish a proper measure of nonlocality.