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arXiv · 1004.1235

Polynomial algebras and exact solutions of general quantum non-linear optical models II: Multi-mode boson systems

Yuan-Harng Lee·Wen-Li Yang·Yao-Zhong Zhang
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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.

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Yuan-Harng Lee, Wen-Li Yang, Yao-Zhong Zhang. 2010-04-08. Polynomial algebras and exact solutions of general quantum non-linear optical models II: Multi-mode boson systems. https://doi.org/10.1088/1751-8113/43/37/375211

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