Two-photon algebra deformations

Details Two-photon algebra deformations Two-photon algebra deformations

1999-07-26

arxiv.org/abs/math/9907170v1

Mathematics

Quantum Algebra

12 pages, LaTeX. Contribution to Symmetries in Quantum Mechanics and Quantum Optics. Edited by A. Ballesteros et al. Universid

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Two-photon algebra deformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Two-photon algebra deformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-photon algebra deformations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-619602