Interference fringes ofm=0spin states under the Majorana transition caused by rapid half-rotation of a magnetic field

Abstract

The phase shift and visibility of fringes in the Ramsey atom interferometer composed of the $|F=1$,${m}_{F}=0\ensuremath{\rangle}$ and $|F=2$,${m}_{F}=0\ensuremath{\rangle}$ states were examined systematically for rapid half-rotation of the magnetic field. It was verified that the phase shifts by $\ensuremath{\pi}$ rad in the adiabatic regime, but it does not shift from the original one in the nonadiabatic regime. These results support Robbins and Berry's claim [J. M. Robbins and M. V. Berry, J. Phys. A 27, L435 (1994)]. The fact that the interference fringes disappear in the intermediate regime and reappear in the nonadiabatic regime can be explained by the Majorana transition caused by a rapid reverse of the magnetic field.