Bethe ansatz solution to integrable bosonic cube networks
Mathematical Physics
2026-02-06 v1 math.MP
Abstract
We study two extended Bose-Hubbard-type Hamiltonians representing bosonic networks restricted to the graph of a cube. For both Hamiltonians, we demonstrate that Bethe ansatz methods of solution can be employed after applying a canonical transformation of operators. We provide the resulting Bethe ansatz equations, and corresponding formulae for states and energies of both Hamiltonians.
Keywords
Cite
@article{arxiv.2602.05320,
title = {Bethe ansatz solution to integrable bosonic cube networks},
author = {Lachlan Bennett and Phillip S. Isaac and Jon Links},
journal= {arXiv preprint arXiv:2602.05320},
year = {2026}
}
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25 pages