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AIP conference proceedings

Neutron interferometric measurement of the topological Aharonov-Casher phase shift

Helmut Kaiser, S. A. Werner, R. Clothier, M. Arif, A. G. Klein, G. I. Opat, Alberto Cimmino

Published Jan 1, 1991• 3 citations
Publisher

Abstract

We have measured the phase shift predicted by Aharonov and Casher (AC) for a magnetic dipole diffracting around a charged electrode for the case of thermal neutrons, using a neutron interferometer containing a 30‐kV/mm vacuum electrode system. Tilting the interferometer about the incident beam direction introduces a spin‐independent gravitationally‐induced phase shift which enables unpolarized neutrons to be used. A supplementary magnetic bias field of the correct magnitude allows first‐order sensitivity to the AC phase shift to be achieved. Nevertheless, the theoretically predicted phase shift is only 1.52 mrad for the geometry and conditions of the experiment. We observe a phase shift of 2.11±0.34 mrad. A detailed description of the experiment and its interpretation is given in this paper.

DOI
10.1063/1.40961

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We have measured the phase shift predicted by Aharonov and Casher (AC) for a magnetic dipole diffracting around a charged electrode for the case of thermal neutrons, using a neutron interferometer containing a 30‐kV/mm vacuum electrode system. Tilting the interferometer about the incident beam direction introduces a spin‐independent gravitationally‐induced phase shift which enables unpolarized neutrons to be used. A supplementary magnetic bias field of the correct magnitude allows first‐order sensitivity to the AC phase shift to be achieved. Nevertheless, the theoretically predicted phase shift is only 1.52 mrad for the geometry and conditions of the experiment. We observe a phase shift of 2.11±0.34 mrad. A detailed description of the experiment and its interpretation is given in this paper.
The phase shift predicted by Aharonov and Casher for a magnetic dipole diffracting around a charged electrode has been observed for the case of thermal neutrons, using a neutron interferometer containing a 30-kV/mm vacuum electrode system. The judicious use of the Earth's gravitational field introduces a spin-independent phase shift which enables unpolarized neutrons to be used. A supplementary magnetic bias field of the correct magnitude allows first-order sensitivity to be achieved; even so, the theoretically predicted phase shift is only 1.50 mrad for the geometry and conditions of the experiment. We observe a phase shift of 2.19\ifmmode\pm\else\textpm\fi{}0.52 mrad.
Experiments involving quantum interference of neutron de Broglie waves, having a wavelength A , extending over macroscopic distances of order are described. In particular I discuss interference induced by the Earth's gravitational field and by its rotation (Sagnac effect), the topological phase shifts resulting from the diffraction of the neutron, carrying its magnetic moment , around a charged electrode (Aharonov--Casher effect) and then finally during its passage through a pulsed magnetic field (scalar Aharonov--Bohm effect).
The usual vector Aharonov–Bohm effect involves the quantum interference of electrons encircling a solenoid due to the magnetic vector potential. The analogous Aharonov–Casher effect was predicted for the neutron, which carries a magnetic dipole moment, encircling a line of electric charge . It was first observed by neutron interferometry, as described in this chapter. An analogous effect using neutrons and a pulsed magnetic solenoid in one leg of the interferometer has also been observed. This experiment using both polarized and unpolarized neutrons is described in this chapter. It is the first observation of the scalar Aharonov-Bohm effect. The idea of geometric phases was later shown to be pervasive in physics. These ideas were brought to full fruition in a neutron interferometry experiment in the late 1990s. The connections of this experiment with the helical field experiment of Bitter and Dubbers and the absorption experiment of Hasegawa are also discussed. The confinement-induced phase when neutrons move between narrow plates is another example of a non-local interaction of neutrons.
The special and unique techniques of neutron interferometry have been used to observe a number of topological effects. These include the quantum mechanical phase shift of a neutron due to the Earth's rotation (the quantum analog of the Michelson–Gale–Pearson experiment with light), the phase shift of a particle carrying a magnetic moment (a neutron) encircling a line charge (the Aharonov–Casher effect) and the scalar Aharonov–Bohm effect, observed with a pulsed magnetic field solenoid and time-of-flight neutron detection. On the occasion of the 50th anniversary of the Aharonov–Bohm paper, we provide an overview of the neutron interferometry technique and a description of these three historic experiments.
A phase shift for de Broglie waves due to the action of a scalar potential in an otherwise field-free (i.e., force-free) region of space is known as the scalar Aharonov-Bohm (AB) effect. Unlike the more familiar AB effect due to the magnetic vector potential, the scalar effect has hitherto remained unverified due, presumably, to technical difficulties in electron interferometry. We have performed an analogous interferometric experiment with thermal neutrons subject to pulsed magnetic fields. The observations were carried out at the University of Missouri Research Reactor using a skew-symmetric perfect-silicon-crystal neutron interferometer. The expected phase shifts have been observed to a high degree of accuracy. A detailed description of the experiment and its interpretation is given in this paper.