Saturation of a spin-1/2 particle by generalized local control
Abstract: We show how to apply a generalization of local control design to the problem of the saturation of a spin-1/2 particle by magnetic fields in nuclear magnetic resonance. The generalization of local or Lyapunov control arises from the fact that the derivative of the Lyapunov function does not depend explicitly on the control field. The second derivative is used to determine the local control field. We compare the efficiency of this approach with that of the time-optimal solution that has recently been derived using geometric methods
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Notes
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New journal of physics. - 13, 7 (2011) , 073001, ISSN: 1367-2630
- Event
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Veröffentlichung
- (where)
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Freiburg
- (who)
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Universität
- (when)
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2019
- Creator
- Contributor
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FRIAS School of Soft Matter Research
- DOI
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10.1088/1367-2630/13/7/073001
- URN
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urn:nbn:de:bsz:25-freidok-954406
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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25.03.2025, 1:51 PM CET
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Associated
- Mintert, Florian
- Lapert, Marc
- Zhang, Yuanbin
- Glaser, Steffen J.
- Sugny, Dominique
- FRIAS School of Soft Matter Research
- Universität
Time of origin
- 2019
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Funktionelle Magnetresonanzurographie (FMRU) unter Verwendung der Saturation-Inversion-Recovery-Spin-Echo- (SIR-SE-) Sequenz
Generalized boundary conditions for the circuit theory of spin transport
Effective field theories for generalized spin ladders
Effective field theories for generalized spin ladders
Particle spin described by quantum Hamilton equations
Equality Saturation & egg
De la saturation
D. Die Saturation.
Saturation à froid
De la saturation
De la saturation
Local characterization of generalized 2-microlocal spaces
Funktionelle Magnetresonanzurographie (FMRU) unter Verwendung der Saturation-Inversion-Recovery-Spin-Echo- (SIR-SE-) Sequenz