%0 Journal Article
%T Two-photon algebra deformations
%A Preeti Parashar
%A Angel Ballesteros
%A Francisco J. Herranz
%J Mathematics
%D 1999
%I arXiv
%X In order to obtain a classification of all possible quantum deformations of the two-photon algebra $h_6$, we introduce its corresponding general Lie bialgebra, which is a coboundary one. Two non-standard quantum deformations of $h_6$, together with their associated quantum universal R-matrix, are presented; each of them contains either a quantum harmonic oscillator subalgebra or a quantum gl(2) subalgebra. One-boson representations for these quantum two-photon algebras are derived and translated into Fock--Bargmann realizations. In this way, a systematic study of `deformed' states of light in quantum optics can be developed.
%U http://arxiv.org/abs/math/9907170v1