Numerical analysis of relaxation times of multiple quantum coherences in the system with a large number of spins

Abstract

We study the decay of multiple quantum (MQ) NMR coherences in systems with the large number of equivalent spins. As being created on the preparation period of MQ NMR experiment, they decay due to the dipole-dipole interactions (DDI) on the evolution period of this experiment. It is shown that the relaxation time decreases with the increase in MQ coherence order {(according to the known results)} and in the number of spins. We also consider the modified preparation period of MQ NMR experiment (G.A.Alvarez, D.Suter, PRL {\bf 104}, 230403 (2010)) concatenating the short evolution periods under the secular DDI Hamiltonian (the perturbation) with the evolution period under the non-secular averaged two-spin/two-quantum Hamiltonian. The influence of the perturbation on the decoherence rate is investigated for the systems consisting of 200-600 equivalent spins.

arXiv comment12 pages, 5 figures

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Cited by in corpus (6)

• Robust dynamical decoupling
• Localization effects induced by decoherence in superpositions of many-spin quantum states
• Dynamics of quantum information scrambling under decoherence effects measured via active spins clusters
• Coherence evolution and transfer supplemented by state-restoring
• The multiple quantum NMR dynamics in systems of equivalent spins with the dipolar ordered initial state
• Multiple quantum NMR dynamics in a gas of spin-carrying molecules in fluctuating nanopores