Abstract We investigate the motion of a classical spin processing around a periodic magnetic field using Floquet theory, as well as elementary differential geometry and considering a couple of examples. Under certain conditions, the role of spin and magnetic field can be interchanged, leading to the notion of “duality of loops” on the Bloch sphere.

中文翻译：

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Rabi 问题的几何和环的对偶性

摘要 我们使用 Floquet 理论以及基本微分几何并考虑几个例子来研究围绕周期性磁场的经典自旋处理的运动。在某些条件下，自旋和磁场的作用可以互换，从而导致布洛赫球上的“环对偶”的概念。