Spatial non-cyclic geometric phase in neutron interferometry

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dc.creatorFilipp, Stefan
dc.creatorHasegawa, Yuji
dc.creatorLoidl, Rudolf
dc.creatorRauch, Helmut
dc.date2004-08-23
dc.date.accessioned2026-07-07T06:10:42Z
dc.date.available2026-07-07T06:10:42Z
dc.descriptionWe present a split-beam neutron interferometric experiment to test the non-cyclic geometric phase tied to the spatial evolution of the system: the subjacent two-dimensional Hilbert space is spanned by the two possible paths in the interferometer and the evolution of the state is controlled by phase shifters and absorbers. A related experiment was reported previously by some of the authors [Hasegawa et al., PRA 53, 2486 (1996)] to verify the cyclic spatial geometric phase. The interpretation of this experiment, namely to ascribe a geometric phase to this particular state evolution, has met severe criticism [Wagh, PRA 59, 1715 (1999)]. The extension to non-cyclic evolution manifests the correctness of the interpretation of the previous experiment by means of an explicit calculation of the non-cyclic geometric phase in terms of paths on the Bloch-sphere. The theoretical treatment comprises the cyclic geometric phase as a special case, which is confirmed by experiment.
dc.descriptionpresented at the Int. Conference on Precision Measurements with Slow Neutrons, April 2004, NIST, Gaithersburg, US
dc.identifierhttps://arxiv.org/abs/quant-ph/0408144
dc.identifierhttp://arxiv.org/abs/quant-ph/0408144
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92320
dc.subjectQuantum Physics
dc.titleSpatial non-cyclic geometric phase in neutron interferometry
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