Exact solutions for a family of spin-boson systems
Mathematical Physics
2015-05-19 v2 Statistical Mechanics
High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
We obtain the exact solutions for a family of spin-boson systems. This is achieved through application of the representation theory for polynomial deformations of the Lie algebra. We demonstrate that the family of Hamiltonians includes, as special cases, known physical models which are the two-site Bose-Hubbard model, the Lipkin-Meshkov-Glick model, the molecular asymmetric rigid rotor, the Tavis-Cummings model, and a two-mode generalisation of the Tavis-Cummings model.
Keywords
Cite
@article{arxiv.1008.3738,
title = {Exact solutions for a family of spin-boson systems},
author = {Yuan-Harng Lee and Jon Links and Yao-Zhong Zhang},
journal= {arXiv preprint arXiv:1008.3738},
year = {2015}
}
Comments
LaTex 15 pages. To appear in Nonlinearity