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Time-optimal rotation of a spin<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math>: Application to the NV center spin in diamond
We study the applicability of the time-optimal bang-bang control designed for spin $\frac{1}{2}$ [Boscain and Mason, J. Math. Phys. 47, 062101 (2006)] to the rotation of the electron spin of a nitrogen-vacancy (NV) center in diamond. The spin of the NV center is a three-level system, with two levels forming …