Observation of Berry’s Geometric Phase by Neutron Interferometry

Yuji Hasegawa, G. Badurek, H. Rauch +2 more

V. K. Ignatovich

Atsuo Morinaga, Hirotaka Narui, Akinori Monma +1 more

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.

A. G. Klein

Reinhold A. Bertlmann, Katharina Durstberger-Rennhofer, Yuji Hasegawa +1 more

The influence of the geometric phase, in particular the Berry phase, on an entangled spin-$\frac{1}{2}$ system is studied. We discuss in detail the case, where the geometric phase is generated only by one part of the Hilbert space. We are able to cancel the effects of the dynamical phase by using the ``spin-echo'' method. We analyze how the Berry phase affects the Bell angles and the maximal violation of a Bell inequality. Furthermore we suggest an experimental realization of our setup within neutron interferometry.