Geometric quantum discord and coherence in a dipolar interacting magnetic system

Abstract

The study of low-dimensional metal complexes has revealed fascinating characteristics regarding the ground-state crossover shown by spin-gaped systems. In this context, this work explores the effect of the quantum-level crossing, induced by the magnetic anisotropies of dipolar interacting systems, on the quantum discord and coherence of the system. The analytical expressions for the quantum discord, based on Schatten 1-norm, and the $l_1$ trace-norm quantum coherence for dinuclear spin-1/2 systems, are provided in terms of the magnetic anisotropies. The results show that, while the quantum discord has a clear signature of the quantum level-crossing, the basis dependence of the quantum coherence hides the crossover regarding the measured basis. In addition, the global quantum coherence is wholly stored within the correlations of the system, regardless of its reference basis.