dorsal/arxiv
View SchemaSpatial non-cyclic geometric phase in neutron interferometry
| Authors | Stefan Filipp, Yuji Hasegawa, Rudolf Loidl, Helmut Rauch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408144 |
| URL | https://arxiv.org/abs/quant-ph/0408144 |
Abstract
We 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.
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"abstract": "We present a split-beam neutron interferometric experiment to test the\nnon-cyclic geometric phase tied to the spatial evolution of the system: the\nsubjacent two-dimensional Hilbert space is spanned by the two possible paths in\nthe interferometer and the evolution of the state is controlled by phase\nshifters and absorbers. A related experiment was reported previously by some of\nthe authors [Hasegawa et al., PRA 53, 2486 (1996)] to verify the cyclic spatial\ngeometric phase. The interpretation of this experiment, namely to ascribe a\ngeometric phase to this particular state evolution, has met severe criticism\n[Wagh, PRA 59, 1715 (1999)]. The extension to non-cyclic evolution manifests\nthe correctness of the interpretation of the previous experiment by means of an\nexplicit calculation of the non-cyclic geometric phase in terms of paths on the\nBloch-sphere. The theoretical treatment comprises the cyclic geometric phase as\na special case, which is confirmed by experiment.",
"arxiv_id": "quant-ph/0408144",
"authors": [
"Stefan Filipp",
"Yuji Hasegawa",
"Rudolf Loidl",
"Helmut Rauch"
],
"categories": [
"quant-ph"
],
"title": "Spatial non-cyclic geometric phase in neutron interferometry",
"url": "https://arxiv.org/abs/quant-ph/0408144"
},
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