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arXiv · 1507.07988

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

A. P. Tonel·L. H. Ymai·A. Foerster·J. Links
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Abstract

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 eigenstates. The model has the notable property that there is a class of eigenstates which admit a simple, closed-form energy expression.

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A. P. Tonel, L. H. Ymai, A. Foerster, J. Links. 2015-07-28. Integrable model of bosons in a four-well ring with anisotropic tunneling. https://doi.org/10.1088/1751-8113/48/49/494001

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