Direct experimental test of commutation relation via weak value
- URL: http://arxiv.org/abs/2012.08171v2
- Date: Fri, 15 Jan 2021 12:07:12 GMT
- Title: Direct experimental test of commutation relation via weak value
- Authors: Richard Wagner, Wenzel Kersten, Armin Danner, Hartmut Lemmel, Alok
Kumar Pan, and Stephan Sponar
- Abstract summary: We present a novel scheme to test the canonical commutation relation between two dichotomic observables.
The imaginary part of a suitably formulated weak value enables this direct test.
Experiment is realized using a newly developed technique in our neutron interferometric setup.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The canonical commutation relation is the hallmark of quantum theory and
Heisenberg's uncertainty relation is a direct consequence of it. But despite
its fundamental role in quantum theory, surprisingly, its genuine direct
experimental test has hitherto not been performed. In this article, we present
a novel scheme to directly test the canonical commutation relation between two
dichotomic observables, by exploiting the notion of weak measurement. The
imaginary part of a suitably formulated weak value enables this direct test.
The measurement of the weak value of a path-qubit observable in a neutron
interferometer experiment is used to verify the approach. The experiment is
realized using a newly developed technique in our neutron interferometric setup
where the neutron's spin/energy degree of freedom serves as ancilla.
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