Optimal control of the signal to noise ratio per unit time for a spin 1/2 particle
arXiv:1408.2996 · doi:10.1103/PhysRevA.90.023411
Abstract
We investigate the maximum signal to noise ratio per unit time that can be achieved for a spin 1/2 particle subjected to a periodic pulse sequence. Optimal control techniques are applied to design the control field and the position of the steady state, leading to the best signal to noise performance. A complete geometric description of the optimal control problem is given in the unbounded case. We show the optimality of the well-known Ernst angle solution, which is widely used in spectroscopic and medical imaging applications, over a large control space allowing use of shaped pulses.
arXiv comment12 pages, 4 figures
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