Advances in Mathematical Physics / 2012 / Article / Fig 12

Research Article

A Review of Geometric Optimal Control for Quantum Systems in Nuclear Magnetic Resonance

Figure 12

Experimental results on the contrast problems. The inner disk mimics the spin 1, while the outside ring mimics the spin 2. The two surfaces are separated by a thin black circle. (a) is a reference image before the application of the control field when the two spins are at the north pole of the Bloch sphere. (b) represent the contrast after a real experiment. The panel (b) corresponds to , while the panel (c) to , that is, the remaining and magnetization components after the optimized pulse. A color has been associated to each value of the contrast between 0 and 1, 0 and 1 corresponding, respectively, to the colors black and white. In the experiment, relaxation parameters are taken to be  ms,  ms for the inner sample and  ms,  ms for the outside sample.

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