We use a combination of microwave fields and free precession to drive the spin of a nitrogen-vacancy (NV) center in diamond on different trajectories on the Bloch sphere and investigate the physical significance of the frame-dependent decomposition of the total phase into geometric and dynamic parts. The experiments are performed on a two-level subspace of the spin-1 ground state of the NV, where the Aharonov-Anandan geometric phase manifests itself as a global phase, and we use the third level of the NV ground-state triplet to detect it. We show that while the geometric Aharonov-Anandan phase retains its connection to the solid angle swept out by the evolving spin, it is generally accompanied by a dynamic phase that suppresses the geometric dependence of the system dynamics. These results offer insights into the physical significance of frame-dependent geometric phases.

中文翻译：

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单旋转系统中几何相位和动态相位之间的相互作用

我们使用微波场和自由进动的组合来驱动钻石的氮空位（NV）中心在Bloch球上的不同轨迹上自旋，并研究了总相依赖于框架分解为几何形状和几何形状的物理意义。动态零件。实验是在NV的spin-1基态的两层子空间上进行的，其中Aharonov-Anandan几何相位表现为整体相位，我们使用NV基态三重态的第三层进行检测它。我们表明，虽然几何阿哈罗诺夫-阿南丹相保持其与被旋转的自旋扫出的立体角的连接，但通常伴随有一个动态相，该动态相抑制了系统动力学的几何依赖性。