Multiple Quantum NMR and Entanglement Dynamics in Dipolar Coupling Spin

TL;DR

This study numerically explores how multiple quantum coherences and entanglement evolve over time in linear chains of nuclear spins with dipolar interactions, revealing differences based on interaction models.

Contribution

It introduces a comparative analysis of entanglement dynamics in two dipolar-coupled spin models, highlighting the emergence of entanglement between non-adjacent spins.

Findings

Entanglement appears between remote particles without direct interaction in the nearest-neighbor model.

In the all-to-all interaction model, entanglement between remote spins is not always observed.

Multiple quantum coherences evolve distinctly depending on the interaction model.

Abstract

We investigate numerically the time dependence of the multiple quantum coherences and entanglement in linear chains up to nine nuclear spins of 1/2 coupled by the dipole-dipole interactions. Two models are considered: (1) a spin chain with nearest-neighbor dipole -dipole interactions; (2) a more realistic model with interactions between all spins. It is shown that the entangled states appear between remote particles which do not interact directly (model 1), while the interaction between all spins (model 2) not always results in entanglement between remote spins.