Bethe Ansatz solution for a model of global-range interacting bosons on the square lattice
Exactly Solvable and Integrable Systems
2026-01-01 v3
Abstract
Quantum systems on a one-dimensional lattice are ubiquitous in the study of models exactly-solved by Bethe Ansatz techniques. Here it is shown that including global-range interaction opens scope for Bethe Ansatz solutions that are not constrained to one-dimensional quantum systems. A bosonic model on a square lattice is defined, and the exact Bethe Ansatz solution is provided for open, cylindrical, and toroidal boundary conditions. Generalising the result for an integrable defect leads to a Bethe Ansatz solution that is not expressible in an exact, closed-form manner.
Cite
@article{arxiv.2509.01989,
title = {Bethe Ansatz solution for a model of global-range interacting bosons on the square lattice},
author = {Jon Links},
journal= {arXiv preprint arXiv:2509.01989},
year = {2026}
}
Comments
18 pages, 4 figures