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Spatial Non-Cyclic Geometric Phase in Neutron Interferometry.

Stefan Filipp1, Yuji Hasegawa2, Rudolf Loidl3

  • 1Atominstitut der Österreichischen Universitäten, Stadionallee 2, A-1020 Vienna, Austria.

Journal of Research of the National Institute of Standards and Technology
|June 17, 2016
PubMed
Summary
This summary is machine-generated.

This study uses neutron interferometry to demonstrate the non-cyclic geometric phase, confirming previous interpretations and validating quantum mechanics principles. The experiment extends prior work on cyclic geometric phases.

Keywords:
geometric phaseneutron interferometry

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Area of Science:

  • Quantum mechanics
  • Neutron interferometry
  • Geometric phase

Background:

  • Previous experiments verified the cyclic spatial geometric phase.
  • The interpretation of cyclic geometric phase experiments faced criticism.
  • A two-dimensional Hilbert space is spanned by interferometer paths.

Purpose of the Study:

  • To test the non-cyclic geometric phase using split-beam neutron interferometry.
  • To address criticisms regarding the interpretation of geometric phase experiments.
  • To demonstrate the correctness of geometric phase interpretations through an extension to non-cyclic evolution.

Main Methods:

  • Utilizing a split-beam neutron interferometer.
  • Controlling quantum state evolution with phase shifters and absorbers.
  • Calculating the non-cyclic geometric phase using paths on the Bloch sphere.

Main Results:

  • The experiment successfully tested the non-cyclic geometric phase.
  • The results provide explicit calculations of the non-cyclic geometric phase.
  • The theoretical framework encompasses the cyclic geometric phase as a special case.

Conclusions:

  • The study validates the interpretation of geometric phase experiments, including cyclic and non-cyclic evolutions.
  • Neutron interferometry is a viable tool for exploring fundamental quantum phenomena.
  • The Bloch sphere representation offers a clear method for understanding geometric phases.