Entropic uncertainty relations for electromagnetic beams
Quantum Physics
2009-02-26 v1
Abstract
The symplectic tomograms of 2D Hermite--Gauss beams are found and expressed in terms of the Hermite polynomials squared. It is shown that measurements of optical-field intensities may be used to determine the tomograms of electromagnetic-radiation modes. Furthermore, entropic uncertainty relations associated with these tomograms are found and applied to establish the compatibility conditions of the the field profile properties with Hermite--Gauss beam description. Numerical evaluations for some Hermite--Gauss modes illustrating the corresponding entropic uncertainty relations are finally given.
Cite
@article{arxiv.0902.4362,
title = {Entropic uncertainty relations for electromagnetic beams},
author = {Sergio De Nicola and Renato Fedele and Margarita A. Man'ko and Vladimir I. Man'ko},
journal= {arXiv preprint arXiv:0902.4362},
year = {2009}
}
Comments
Invited talk at the XV Central European Workshop on Quantum Optics (Belgrade, Serbia, 30 May -- 3 June 2008), to appear in Physica Scripta T