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 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.

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

References in corpus (6)

• Singular extremals for the time-optimal control of dissipative spin 1/2 particles
• Time-optimal control of a two-level dissipative quantum system
• Simultaneous time-optimal control of the inversion of two spin 1/2 particles
• Entanglement generation between distant atoms by Lyapunov control
• Global Control Methods for GHZ State Generation on 1-D Ising Chain
• Analysis of Lyapunov Control for Hamiltonian Quantum Systems

Cited by in corpus (4)

• Variational approach to the optimal control of coherently driven, open quantum system dynamics
• Tailoring many-body entanglement through local control
• On the time optimal thermalization of single mode Gaussian states
• Robust control of long distance entanglement in disordered spin chains