6533b838fe1ef96bd12a4695

RESEARCH PRODUCT

Saturation of a spin-1/2 particle by generalized local control

Florian MintertY. ZhangM. LapertSteffen J. GlaserDominique Sugny

subject

Lyapunov functionPhysicsQuantum Physics0209 industrial biotechnologyMathematical analysisFOS: Physical sciencesGeneral Physics and Astronomy02 engineering and technology01 natural sciencesddc:Magnetic fieldsymbols.namesake020901 industrial engineering & automation0103 physical sciencessymbolsLyapunov controlQuantum Physics (quant-ph)010306 general physicsSaturation (magnetic)Second derivative

description

We show how to apply a generalization of Local control design to the problem of 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 respect to the time-optimal solution which has been recently derived using geometric methods.

https://doi.org/10.1088/1367-2630/13/7/073001