6533b827fe1ef96bd12870cd

RESEARCH PRODUCT

Towards the time-optimal control of dissipative spin-1/2 particles in nuclear magnetic resonance

Y. ZhangSteffen J. GlaserDominique SugnyM. Lapert

subject

Physics32.80.QkDissipationCondensed Matter PhysicsTime optimalOptimal control01 natural sciencesAtomic and Molecular Physics and Optics010305 fluids & plasmasNuclear magnetic resonanceBloch equationsTransverse relaxationRobustness (computer science)0103 physical sciences03.65.Yz78.20.BhDissipative system010306 general physicsMaximum amplitude

description

International audience; We consider the time-optimal control of a spin 1/2 particle whose dynamics is governed by the Bloch equations with both longitudinal and transverse relaxation terms. We solve this control problem by using geometric optimal control techniques. We show the crucial role of singular extremals in the time-optimal synthesis. This role can mainly be attributed to the presence of dissipation. We also analyze the robustness of the optimal control sequence when both the maximum amplitude of the control field and the dissipative parameters are varied. Finally, we present an experimental implementation of the different solutions using techniques of Nuclear Magnetic Resonance.

yearjournalcountryeditionlanguage
2011-08-14
10.1088/0953-4075/44/15/154014https://hal.archives-ouvertes.fr/hal-00642391/document