Skip to Main content Skip to Navigation
Journal articles

Revisiting the applications of Floquet–Magnus and Fer expansion approaches in physics and solid-state NMR

Eugene Stephane Mananga 1 Thibault Charpentier 2
2 LSDRM - Laboratoire Structure et Dynamique par Résonance Magnétique (LCF)
NIMBE UMR 3685 - Nanosciences et Innovation pour les Matériaux, la Biomédecine et l'Energie (ex SIS2M)
Abstract : In this paper, we revisit, from different perspectives, the applications of Floquet–Magnus expansion (FME) and Fer expansion (FE) in NMR and physics. We use these expansion schemes for the calculation of effective Hamiltonians and propagators. We found that the FME is related to the FE. While both approaches are powerful methods, there are subtle differences between them. To understand the differences, we performed explicit calculation on various problems, namely, Bloch–Siegert shift, Cross Polarization (CP) and Continuous Waves (CW). We put the work in a prospect that is related to spin physics in order to make the calculation more general. As the propagator from the FME takes the form of the evolution operator, which removes the constraint of a stroboscopic observation, we appreciated the effects of time-evolution under Hamiltonians with different orders separately.
Document type :
Journal articles
Complete list of metadatas

https://hal-cea.archives-ouvertes.fr/cea-01855335
Contributor : Serge Palacin <>
Submitted on : Tuesday, August 7, 2018 - 4:51:59 PM
Last modification on : Monday, February 10, 2020 - 6:12:48 PM

Identifiers

Citation

Eugene Stephane Mananga, Thibault Charpentier. Revisiting the applications of Floquet–Magnus and Fer expansion approaches in physics and solid-state NMR. International Journal of Modern Physics B, World Scientific Publishing, 2018, pp.1850236. ⟨10.1142/s0217979218502363⟩. ⟨cea-01855335⟩

Share

Metrics

Record views

130