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Paper detail

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

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.

preprint2010arXivOpen access
Yuan-Harng LeeWen-Li YangYao-Zhong Zhang
cond-mat.stat-mechmath-phmath.MPnlin.SIhep-th
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Yuan-Harng LeeWen-Li YangYao-Zhong Zhang

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