Exact solution of the Izergin-Korepin Gaudin model with periodic and open boundaries

TL;DR

This paper provides an exact solution to the Izergin-Korepin Gaudin model with periodic and open boundaries, revealing new insights into long-range quantum interactions through Bethe ansatz methods.

Contribution

It derives the eigenvalues and Bethe ansatz equations for the Gaudin model with different boundary conditions, advancing the understanding of integrable quantum systems.

Findings

Eigenvalues of Gaudin operators obtained

Bethe ansatz equations derived

Applicable to systems with long-range interactions

Abstract

We study the Izergin-Korepin Gaudin models with both periodic and open integrable boundary conditions, which describe quantum systems exhibiting novel long-range interactions. Using the Bethe ansatz approach, we derive the eigenvalues of the Gaudin operators and the corresponding Bethe ansatz equations.