The neutron Berry phase

S. A. Werner

Robert Olkiewicz

Shen, Jian-Qi

Neutron spin can be coupled to the Earth's rotating frequency. Once if the Earth's rotating frequency is time-dependent, then the neutron will acquire a Berry's topological phase (cyclic adiabatic geometric phase). So, a potential method to investigate the Earth's time-varying rotating frequency by measuring the phase difference between geometric phases of neutron spin polarized vertically down and up is proposed.

Lian-Ao Wu, Jing Sun, Ji-Yu Zhong

V. K. Ignatovich

The neutron Berry phase is found from an exact analytic solution of the Schrödinger equation in a constant magnetic field and a perpendicular radiofrequency field rotating with an angular frequency . The solution is found for arbitrary values of , , and . The Berry phase is shown to be a linear approximation of the exact value in the parameter when this parameter is small.

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