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  Radial quantum number of Laguerre-Gauss modes

Karimi, E., Boyd, R. W., de la Hoz, P., de Guise, H., Rehacek, J., Hradil, Z., et al. (2014). Radial quantum number of Laguerre-Gauss modes. PHYSICAL REVIEW A, 89(6): 063813. doi:10.1103/PhysRevA.89.063813.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-002D-65E5-8 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-002D-65E6-6
Genre: Journal Article

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 Creators:
Karimi, E.1, Author
Boyd, R. W.1, Author
de la Hoz, P.1, Author
de Guise, H.1, Author
Rehacek, J.1, Author
Hradil, Z.1, Author
Aiello, A.2, Author           
Leuchs, G.3, Author           
Sanchez-Soto, L. L.4, Author           
Affiliations:
1external, ou_persistent22              
2Optical Quantum Information Theory, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society, ou_2364705              
3Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society, ou_2364698              
4Guests, Max Planck Institute for the Science of Light, Max Planck Society, ou_2364696              

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Free keywords: ORBITAL ANGULAR-MOMENTUM; MINIMUM UNCERTAINTY STATES; ELECTRON VORTEX BEAMS; COHERENT STATES; INTELLIGENT STATES; SU(1,1); VORTICES; LIGHT; SU(2); REPRESENTATIONSOptics; Physics;
 Abstract: We introduce an operator linked with the radial index in the Laguerre-Gauss modes of a two-dimensional harmonic oscillator in cylindrical coordinates. We discuss ladder operators for this variable, and confirm that they obey the commutation relations of the su(1,1) algebra. Using this fact, we examine how basic quantum optical concepts can be recast in terms of radial modes.

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Language(s): eng - English
 Dates: 2014
 Publication Status: Published online
 Pages: 6
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: ISI: 000337728500010
DOI: 10.1103/PhysRevA.89.063813
 Degree: -

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Title: PHYSICAL REVIEW A
Source Genre: Journal
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Publ. Info: ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA : AMER PHYSICAL SOC
Pages: - Volume / Issue: 89 (6) Sequence Number: 063813 Start / End Page: - Identifier: ISSN: 1050-2947