Exact integrability of the su(n) Hubbard model
Z. Maassarani (Laval university)
TL;DR
This paper proves the exact integrability of the bosonic su(n) Hubbard model by deriving its R-matrix and demonstrating the commutation of conserved charges, contributing to the understanding of integrable quantum many-body systems.
Contribution
The paper derives the R-matrix for the su(n) Hubbard model and shows it is a non-additive solution to the Yang-Baxter equation, establishing its integrability.
Findings
The R-matrix for the su(n) Hubbard model is explicitly derived.
Conserved charges in the model commute, confirming integrability.
Properties of the R-matrix are analyzed and discussed.
Abstract
The bosonic su(n) Hubbard model was recently introduced. The model was shown to be integrable in one dimension by exhibiting the infinite set of conserved quantities. I derive the R-matrix and use it to show that the conserved charges commute among themselves. This new matrix is a non-additive solution of the Yang-Baxter equation. Some properties of this matrix are derived.
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