Multiple Quantum Coherence and Entanglement Dynamics in Spin Clusters

TL;DR

This paper numerically investigates the relationship between multiple quantum coherences and entanglement in spin clusters, revealing similar dynamics only for nearest neighbors and no consistency for remote spins.

Contribution

It introduces a differentiated approach to analyze MQ coherence intensity based on reduced density matrices, providing new insights into spin correlations.

Findings

MQ coherence and entanglement dynamics are similar for nearest neighbors.

No consistent relationship is observed for remote spins.

Differentiated intensity analysis offers a new perspective on spin correlations.

Abstract

With the purpose to reveal consistency between multiple quantum (MQ) coherences and entanglement, we investigate numerically the dynamics of these phenomena in one-dimensional linear chains and ring of nuclear spins 1/2 coupled by dipole dipole interactions. As opposed to the calculation of the MQ coherence intensity based on the density matrix describing the spin system as a whole, we consider the "differentiated" intensity related only to the chosen spin pair based on the reduced density matrix. It is shown that the entanglement and the MQ coherence have similar dynamics only for nearest neighbors while we did not obtained any consistency for remote spins.