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Integrable model of bosons in a four-well ring with anisotropic tunneling

A P Tonel, L H Ymai, A Foerster, J Links
2015 Journal of Physics A: Mathematical and Theoretical  
We introduce an integrable, four-well ring model for bosons where the tunneling couplings between nearest-neighbour wells are not restricted to be equal. We show how the model may be derived through the Quantum Inverse Scattering Method from a solution of the Yang--Baxter equation, and in turn solved by algebraic Bethe Ansatz means. The model admits multiple pseudovaccum states. Numerical evidence is provided to indicate that all pseudovacua are required to obtain a complete set of Bethe
more » ... set of Bethe eigenstates. The model has the notable property that there is a class of eigenstates which admit a simple, closed-form energy expression.
doi:10.1088/1751-8113/48/49/494001 fatcat:4i42oppdxfaarih2zx3wqhbg34