Asymmetry and non-dispersivity in the Aharonov-Bohm effect

Maria Becker, Giulio Guzzinati, Armand Béché, Johan Verbeeck and Herman Batelaan ()
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Maria Becker: Hastings College—Morrison-Reeves Science Center
Giulio Guzzinati: University of Antwerp
Armand Béché: University of Antwerp
Johan Verbeeck: University of Antwerp
Herman Batelaan: University of Nebraska-Lincoln

Nature Communications, 2019, vol. 10, issue 1, 1-10

Abstract: Abstract Decades ago, Aharonov and Bohm showed that electrons are affected by electromagnetic potentials in the absence of forces due to fields. Zeilinger’s theorem describes this absence of classical force in quantum terms as the “dispersionless” nature of the Aharonov-Bohm effect. Shelankov predicted the presence of a quantum “force” for the same Aharonov-Bohm physical system as elucidated by Berry. Here, we report an experiment designed to test Shelankov’s prediction and we provide a theoretical analysis that is intended to elucidate the relation between Shelankov’s prediction and Zeilinger’s theorem. The experiment consists of the Aharonov-Bohm physical system; free electrons pass a magnetized nanorod and far-field electron diffraction is observed. The diffraction pattern is asymmetric confirming one of Shelankov’s predictions and giving indirect experimental evidence for the presence of a quantum “force”. Our theoretical analysis shows that Zeilinger’s theorem and Shelankov’s result are both special cases of one theorem.

Date: 2019
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DOI: 10.1038/s41467-019-09609-9

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