New aspects of geometric phases in experiments with polarized neutrons
نویسندگان
چکیده
Geometric phase phenomena have been observed with single neutrons in polarimeter and interferometer experiments. Interacting with static and timedependent magnetic fields, the state vectors acquire a geometric phase tied to the evolution within spin subspace. In a polarimeter experiment the non-additivity of quantum phases for mixed spin input states is observed. In a Si perfectcrystal interferometer experiment appearance of geometric phases, induced by interaction with an oscillating magnetic field, is verified. The total system is characterized by an entangled state, consisting of neutron and radiation fields, governed by a Jaynes–Cummings Hamiltonian. In addition, the influence of the geometric phase on a Bell measurement, expressed by the Clauser–Horne– Shimony–Holt (CHSH) inequality, is studied. It is demonstrated that the effect of the geometric phase can be balanced by an appropriate change of Bell angles. PACS numbers: 03.75.Dg, 03.65.Vf, 03.65.Ud, 07.60.Ly, 42.50.Dv, 03.75.Be (Some figures in this article are in colour only in the electronic version)
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