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The Forgotten Quantum Number

Autor(en)
William N. Plick, Radoslaw Lapkiewicz, Sven Ramelow, Anton Zeilinger
Abstrakt

The orbital angular momentum quantum number of Laguerre-Gauss beams has received an explosively increasing amount of attention over the past twenty years. However, often overlooked is the so-called radial number of these beams. We present a derivation of the differential operator formalism of this "forgotten" quantum number. We then draw some connections between this new formalism and the effect the radial number has on beam stability with possible application to quantum communication. We also briefly outline how the radial number is tied to other physical aspects of the beam (such as the Gouy phase, and radial confinement). These do not necessarily constitute finished results, but are instead meant to stimulate discussion of this interesting and often overlooked physical parameter.

Organisation(en)
Quantenoptik, Quantennanophysik und Quanteninformation
Externe Organisation(en)
Österreichische Akademie der Wissenschaften (ÖAW)
Publikationsdatum
06-2013
ÖFOS 2012
103026 Quantenoptik
Schlagwörter
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/ab05c145-eec1-4209-939a-dc0f8b56db44