Geometric quantum discord and coherence in a dipolar interacting magnetic system

Abstract

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 interaction, on the quantum discord and coherence of a dinuclear spin-1/2 system. The analytical expressions for the quantum discord, based on Schatten 1-norm, and the l 1 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 axial quantum coherence hides the crossover regarding the measured basis. Moreover, global coherence was expressed in terms of the co-latitude and longitude angles of the Bloch sphere representation. Through this result, the average quantum coherence is numerically measured in order to obtain a basis-independent perspective for the l 1 quantum coherence. The results show that the average measurement revealed the signature of the energy-level crossover obtained in the measurement of quantum discord, being wholly stored within the correlations of the system, even in the absence of entanglement.