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arXiv · 1610.07111

Exact solution of a generalized two-sites Bose-Hubbard model

Gilberto N. Santos Filho
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Abstract

I introduce a new parametrization of a bosonic Lax operator for the algebraic Bethe ansatz method with the $gl(2)$-invariant $R$-matrix and use it to present the exact solution of a generalized two-sites Bose-Hubbard model with asymmetric tunnelling. In the no interaction limit I show that the Bethe ansatz equations can be written as a $S^{N-1}$ sphere, where $N$ is the total number of atoms in the condensate.

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Gilberto N. Santos Filho. 2016-10-23. Exact solution of a generalized two-sites Bose-Hubbard model. https://arxiv.org/abs/1610.07111

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