Polynomial algebras and exact solutions of general quantum non-linear optical models II: Multi-mode boson systems
Mathematical Physics
2014-11-20 v2 Statistical Mechanics
High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We present higher order polynomial algebras which are the dynamical symmetry algebras of a wide class of multi-mode boson systems in non-linear optics. We construct their unitary representations and the corresponding single-variable differential operator realizations. We then use the results to obtain exact (Bethe ansatz) solutions to the multi-mode boson systems, including the BEC models as special cases.
Keywords
Cite
@article{arxiv.1004.1235,
title = {Polynomial algebras and exact solutions of general quantum non-linear optical models II: Multi-mode boson systems},
author = {Yuan-Harng Lee and Wen-Li Yang and Yao-Zhong Zhang},
journal= {arXiv preprint arXiv:1004.1235},
year = {2014}
}
Comments
LaTex 14 pages, no figure; Version 2, to appear in J. Phys. A: Math. Theor