Visualization of dynamics in coupled multi-spin systems
Abstract Q functions, and DROPS (discrete representations of operators for spin systems) and finds particular utility when the total angular momentum basis is used for describing Hamiltonians. We show that, depending on the choice of a generalized measurement operator, the plotted surfaces either represent probabilities of finding the maximal projection of an angular momentum along any direction in space or represent measurable coherences between the states with different total angular momenta. Such effects are difficult to grasp by looking at (time-dependent) numerical values of density-matrix elements. The approach is complete in a sense that there is one-to-one correspondence between the plotted surfaces and the density matrix. Three examples of nuclear spin dynamics in two-spin systems are visualized: (i) a zero- to ultralow-field (ZULF) nuclear magnetic resonance (NMR) experiment in the presence of a magnetic field applied perpendicularly to the sensitive axis of the detector, (ii) interplay between chemical exchange and spin dynamics during high-field signal amplification by reversible exchange (SABRE), and (iii) a high-field spin-lock-induced crossing (SLIC) sequence, with the initial state being the singlet state between two spins. The presented visualization technique facilitates intuitive understanding of spin dynamics during complex experiments as exemplified here by the considered cases. Temporal sequences (“the movies”) of such surfaces show phenomena like interconversion of spin order between the coupled spins and are particularly relevant in ZULF NMR.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Visualization of dynamics in coupled multi-spin systems ; volume:3 ; number:2 ; year:2022 ; pages:145-160 ; extent:16
Magnetic resonance ; 3, Heft 2 (2022), 145-160 (gesamt 16)
- Creator
- DOI
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10.5194/mr-3-145-2022
- URN
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urn:nbn:de:101:1-2022081105163024154229
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:37 AM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Xu, Jingyan
- Budker, Dmitry
- Barskiy, Danila
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Quasiclassical methods for spin-charge coupled dynamics in low-dimensional systems
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Visualization of Spin Dynamics in Coupled Nuclear Multispin Systems
Hyperpolarization in coupled multi spin systems
Spin dynamics in strongly coupled spin-photon hybrid systems
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Multi-field visualization
Multi-field visualization
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