Experimental test of uncertainty relations for quantum mechanics on a circle

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dc.creatorRehacek, J.
dc.creatorBouchal, Z.
dc.creatorCelechovsky, R.
dc.creatorHradil, Z.
dc.creatorSanchez-Soto, L. L.
dc.date2007-12-03
dc.date.accessioned2026-07-07T09:52:28Z
dc.date.available2026-07-07T09:52:28Z
dc.descriptionWe rederive uncertainty relations for the angular position and momentum of a particle on a circle by employing the exponential of the angle instead of the angle itself, which leads to circular variance as a natural measure of resolution. Intelligent states minimizing the uncertainty product under the constraint of a given uncertainty in angle or in angular momentum turn out to be given by Mathieu wave functions. We also discuss a number of physically feasible approximations to these optimal states. The theory is applied to the orbital angular momentum of a beam of photons and verified in an experiment that employs computer-controlled spatial light modulators both at the state preparation and analyzing stages.
dc.description12 pages, 9 figures. Submitted for publication
dc.identifierhttps://arxiv.org/abs/0712.0230
dc.identifierhttp://arxiv.org/abs/0712.0230
dc.identifierPhys. Rev. A 77, 032110 (2008)
dc.identifierdoi:10.1103/PhysRevA.77.032110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165610
dc.subjectQuantum Physics
dc.titleExperimental test of uncertainty relations for quantum mechanics on a circle
dc.typetext

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