Related papers: Continuous Floquet Theory in Solid-State NMR

Continuous Floquet Theory in Solid-State NMR

URL: http://arxiv.org/abs/2404.06300v1
Date: Tue, 9 Apr 2024 13:27:33 GMT
Title: Continuous Floquet Theory in Solid-State NMR
Authors: Matías Chávez, Matthias Ernst,
Abstract summary: Continuous Floquet theory extends traditional Floquet theory to non-continuous Hamiltonians. We present closed-form expressions for computing first and second-order effective Hamiltonians. We show examples of the practical application of Continuous Floquet theory by investigating several solid-state NMR experiments.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: This article presents the application of continuous Floquet theory in solid-state NMR. Continuous Floquet theory extends traditional Floquet theory to non-continuous Hamiltonians, enabling the description of observable effects not fully captured by traditional Floquet theory due to its requirement for a periodic Hamiltonian. We present closed-form expressions for computing first and second-order effective Hamiltonians, streamlining integration with traditional Floquet theory and facilitating application in NMR experiments featuring multiple modulation frequencies. Subsequently, we show examples of the practical application of Continuous Floquet theory by investigating several solid-state NMR experiments. These examples illustrate the importance of the duration of the pulse scheme regarding the width of the resonance conditions and the near-resonance behavior.

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