Simultaneous time-optimal control of the inversion of two spin-12 particles

E. Assémat, M. Lapert, Y. Zhang, M. Braun, S. J. Glaser, and D. Sugny
Phys. Rev. A 82, 013415 – Published 20 July 2010

Abstract

We analyze the simultaneous time-optimal control of two-spin systems. The two noncoupled spins, which differ in the value of their chemical offsets, are controlled by the same magnetic fields. Using an appropriate rotating frame, we restrict the study to the case of opposite shifts. We then show that the optimal solution of the inversion problem in a rotating frame is composed of a pulse sequence of maximum intensity and is similar to the optimal solution for inverting only one spin by using a nonresonant control field in the laboratory frame. An example is implemented experimentally using nuclear magnetic resonance techniques.

  • Figure
  • Figure
  • Received 28 April 2010

DOI:https://doi.org/10.1103/PhysRevA.82.013415

©2010 American Physical Society

Authors & Affiliations

E. Assémat1, M. Lapert1, Y. Zhang2, M. Braun2, S. J. Glaser2, and D. Sugny1,*

  • 1Laboratoire Interdisciplinaire Carnot de Bourgogne (ICB), UMR 5209 CNRS-Université de Bourgogne, 9 Avenue A. Savary, BP 47 870, F-21078 Dijon Cedex, France
  • 2Department of Chemistry, Technische Universität München, Lichtenbergstrasse 4, D-85747 Garching, Germany

  • *dominique.sugny@u-bourgogne.fr

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 82, Iss. 1 — July 2010

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×