On the concentration dependence of wings of spectra of spin correlation functions of diluted Heisenberg paramagnets

The free-induction decay (FID) of the transverse magnetization in a dipolar-coupled rigid lattice is a fundamental problem in magnetic resonance and in the theory of many-body systems.As it was shown earlier the FID shapes for the systems of classical magnetic moments and for quantum nuclear spins ones coincide if there are many quite equivalent nearest neighbors V in a solid lattice. In this paper, we reduce a multispin density matrix of above system to a two-spin matrix. Then we obtain analytic expressions for the mutual information and the quantum and classical parts of correlations at the arbitrary spin quantum number S, in the high-temperature approximation. The time dependence of these functions is expressed via the derivative of the FID shape. To extract classical correlations for S>1/2 we provide generalized POVM measurement using the basis of spin coherent states. We show that in every pair of spins the portion of quantum correlations changes from 1/2 to 1/(S+1) when S is growing up, and quantum properties disappear completely only if S→∞ and not in the case when V→∞.

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“…We can discriminate functions given by Eqs. (15) and (14) using discrepancy of their fourth moments:…”

Section: The Model Calculations With Ising Like-interaction Onlymentioning

confidence: 99%