Application of Floquet-Magnus Expansion During the Phase Modulated Lee-Goldburg Radiation in Solid State NMR
Eugene Stephane Mananga, Aissata Diop, Paulin J. Dongomale, Lailatu Donkor, and Akil Hollington
This work uses the Floquet-Magnus expansion approach to investigate the spin system evolution during
the phase modulate Lee-Goldburg radiation experiment. Until now, the Frequency switched LeeGoldburg and its variant called the Phase module Lee-Goldburg have been treated by only the average
Hamiltonian theory and the bimodal Floquet approach. In this article, we use the expansion schemes of
the Floquet-Magnus expansion to calculate the effective Hamiltonian and propagator during the spin
dynamics. We present a remarkable iterative approach for the Floquet-Magnus expansion. Our work
unifies and generalizes existing results of the Floquet-Magnus expansion and delivers illustrations of
novel springs that boost previous applications that are based on the classical information. The method
presented could plays a major role in the interpretation of a number of fine NMR experiments in solids,
which provide significant new insight in spin physics. The generality of the work points to potential
applications in problems related in solid-state NMR and theoretical developments of spectroscopy as
well as interdisciplinary research areas whenever they include spin dynamics concepts. The considered
method of Floquet-Magnus expansion has recently found new major areas of applications such as in
topological materials.
