RT Journal Article
T1 Radial quantum number of Laguerre-Gauss modes
A1 Karimi, E.
A1 Boyd, R.W.
A1 Hoz Iglesias, Pablo de la
A1 de Guise, H.
A1 Řeháček, J.
A1 Hradil, Z.
A1 Aiello, A.
A1 Leuchs, Gerd
A1 Sánchez Soto, Luis Lorenzo
AB 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.
PB American Physical Society
SN 1050-2947
YR 2014
FD 2014-06-16
LK https://hdl.handle.net/20.500.14352/33972
UL https://hdl.handle.net/20.500.14352/33972
LA eng
NO © 2014 American Physical Society.  E.K. and R.W.B. acknowledge the support of the Canada Excellence Research Chairs (CERC) Program. The work of H.G. is supported by the Natural Sciences and  Engineering Research Council (NSERC) of Canada. J.R. and Z.H. are grateful for the financial assistance of the Technology Agency of the Czech Republic (Grant No. TE01020229) and the Czech Ministry of Industry and Trade (Grant No. FR-TI1/364). G.L. is partially funded by EU FP7 (Grant Q-ESSENCE). Finally, P.H. and L.L.S.S. acknowledge the support from the Spanish MINECO (Grant No. FIS2011-26786).
NO Canada Excellence Research Chairs (CERC) Program
NO Natural Sciences and  Engineering Research Council (NSERC) of Canada
NO Technology Agency of the Czech Republic
NO Czech Ministry of Industry and Trade
NO EU FP7
NO Spanish MINECO
DS Docta Complutense
RD 19 abr 2025