We propose and demonstrate first steps towards schemes where the librational mode of levitating ferromagnets can be strongly coupled to the electronic spin of Nitrogen-Vacancy (NV) centers in diamond. Experimentally, we levitate soft ferromagnets in a Paul trap and employ magnetic fields to attain oscillation frequencies in the hundreds of kHz range with Q factors close to ${10}^4$. These librational frequencies largely exceed the decoherence rate of NV centers in typical CVD grown diamonds offering prospects for resolved sideband operation. We also prepare and levitate composite diamond-ferromagnet particles and demonstrate both coherent spin control of the NV centers and read-out of the particle libration using the NV spin. Our results will find applications in ultra-sensitive gyroscopy and bring levitating objects a step closer to spin-mechanical experiments at the quantum level.

中文翻译：

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悬浮铁磁粒子的自旋力学

我们提出并证明了向计划发展的第一步，在该计划中，悬浮铁磁体的自由模式可以与钻石中的氮空位（NV）中心的电子自旋强烈耦合。在实验中，我们在Paul阱中悬浮软铁磁体，并利用磁场获得数百kHz范围内的振荡频率，Q因子接近${10}^4$。这些释放频率大大超过了典型CVD生长钻石中NV中心的退相干率，为解决边带操作提供了前景。我们还准备并悬浮复合金刚石-铁磁体颗粒，并展示了NV中心的相干自旋控制和使用NV自旋的颗粒释放读出。我们的结果将发现在超灵敏陀螺仪中的应用，并使悬浮物体在量子水平上更接近自旋机械实验。