Fig. 2: Spin evolutions.
From: Spin-rotation coupling observed in neutron interferometry

The unit sphere in the inertial frame with the coordinates of the polar angle \(\vartheta\) and the azimuthal angle φ of polarization vectors \(\overrightarrow{P}(t)=\left\langle \xi (t)\right|\overrightarrow{\sigma }\left|\xi (t)\right\rangle\) with the spinor state \(\left|\xi \right\rangle =\cos (\vartheta /2)\left|\uparrow \right\rangle +{{\rm{e}}}^{{\rm{i}}\varphi }\sin (\vartheta /2)\left|\downarrow \right\rangle\) in the z-eigenbasis. The colored lines mark some experimentally realized cyclic time evolutions of the polarization vector induced in the RFG with a rotating magnetic field with different angular velocities \(\Omega\) from 2.5 kHz to 17.5 kHz and accordingly adjusted field amplitudes. The initial magnetic field is assumed in x-direction.