Scheme for directly observing the noncommutativity of the position and the momentum operators with interference

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Although noncommutativity of a certain set of quantum operators (e.g., creation and annihilation operators and Pauli spin operators) has been shown experimentally in recent years, the commutation relation for the position and the momentum operators has not been directly demonstrated to date. In this paper we propose and analyze an experimental scheme for directly observing the noncommutativity of the position and the momentum operators using single-photon quantum interference. While the scheme is studied for the single-photon state as the input quantum state, the analysis applies equally to matter-wave interference, allowing a direct test of the position-momentum commutation relation with a massive particle.
Publisher
AMER PHYSICAL SOC
Issue Date
2012-10
Language
English
Article Type
Article
Keywords

PAULI SPIN OPERATORS; WIGNER FUNCTION; QUANTUM; LENS

Citation

PHYSICAL REVIEW A, v.86, no.4

ISSN
1050-2947
DOI
10.1103/PhysRevA.86.042112
URI
http://hdl.handle.net/10203/247194
Appears in Collection
PH-Journal Papers(저널논문)
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