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arXiv · 1008.3738

Exact solutions for a family of spin-boson systems

Yuan-Harng Lee·Jon Links·Yao-Zhong Zhang
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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 $su(2)$ 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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Yuan-Harng Lee, Jon Links, Yao-Zhong Zhang. 2011-05-09. Exact solutions for a family of spin-boson systems. https://doi.org/10.1088/0951-7715%2F24%2F7%2F004

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