Spatial non-cyclic geometric phase in neutron interferometry

Stefan Filipp, Yuji Hasegawa, Rudolf Loidl, Helmut Rauch

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 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. 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 Blochsphere. The theoretical treatment comprises the cyclic geometric phase as a special case, which is confirmed by experiment.

Original languageEnglish
Pages (from-to)251-257
Number of pages7
JournalJournal of Research of the National Institute of Standards and Technology
Issue number3
StatePublished - 2005
Externally publishedYes


  • Geometric phase
  • Neutron interferometry


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