Exact solutions for a family of spin-boson systems

Details Exact solutions for a family of spin-boson systems Exact solutions for a family of spin-boson systems

2010-08-23

arxiv.org/abs/1008.3738v2

Nonlinearity 24:1975-1986, 2011

Physics

Mathematical Physics

LaTex 15 pages. To appear in Nonlinearity

Scientific paper

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 $su(2)$ 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.

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