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
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch
Notes
New journal of physics. - 13, 7 (2011) , 073001, ISSN: 1367-2630

Event
Veröffentlichung
(where)
Freiburg
(who)
Universität
(when)
2019
Creator
Mintert, Florian
Lapert, Marc
Zhang, Yuanbin
Glaser, Steffen J.
Sugny, Dominique
Contributor
FRIAS School of Soft Matter Research

DOI
10.1088/1367-2630/13/7/073001
URN
urn:nbn:de:bsz:25-freidok-954406
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
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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