Quantum coherence and Rényi mutual information in Heisenberg XYZ system under non-uniform field

We investigate the thermal and magnetic quantum coherence in the Heisenberg XYZ system. To accomplish this, we employ three measures: the L1 norm coherence, the relative entropy coherence, and the Rényi mutual information (RMI). By performing these measures, we can accurately describe the quantum behaviors of the Heisenberg XYZ system. During the process of characterization, we have found both similarities and distinctive properties. Under a non-uniform field, the magnetic field can enhance the RMI for different coefficients α. All of the analytical and numerical results are described in details.