Exact solution of the XXZ Gaudin model with generic open boundaries
Wen-Li Yang, Yao-Zhong Zhang, Mark D. Gould
TL;DR
This paper provides an exact solution to the XXZ Gaudin model with generic open boundaries using algebraic Bethe ansatz, deriving eigenvalues and Bethe equations for the model.
Contribution
It introduces a method to diagonalize the XXZ Gaudin model with non-diagonal boundary conditions, extending previous solutions to more general boundary cases.
Findings
Eigenvalues of the model are explicitly obtained.
Bethe ansatz equations are derived for the general boundary conditions.
The algebraic Bethe ansatz method is successfully applied to this complex boundary setup.
Abstract
The XXZ Gaudin model with {\it generic} integerable boundaries specified by generic {\it non-diagonal} K-matrices is studied. The commuting families of Gaudin operators are diagonalized by the algebraic Bethe ansatz method. The eigenvalues and the corresponding Bethe ansatz equations are obtained.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.