Saturation of a spin 1/2 particle by generalized Local control

Details Saturation of a spin 1/2 particle by generalized Local control Saturation of a spin 1/2 particle by generalized Local control

2011-03-08

arxiv.org/abs/1103.1570v1

Physics

Quantum Physics

12 pages, 4 figures, submitted to new journal of physics (2011)

Scientific paper

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.

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