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

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.

arXiv comment25page

References in corpus (34)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Exactly solvable Richardson-Gaudin models for many-body quantum systems
• Gaudin Model, Bethe Ansatz and Critical Level
• Bethe Ansatz solution of the open XXZ chain with nondiagonal boundary terms
• A Class of Exactly Solvable Pairing Models
• Off-diagonal Bethe ansatz and exact solution of a topological spin ring
• Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields
• Completeness of the Bethe Ansatz solution of the open XXZ chain with nondiagonal boundary terms
• Analytical Bethe Ansatz for Quantum-Algebra-Invariant Spin Chains
• Off-Shell Bethe Ansatz Equation and N-point Correlators in the SU(2) WZNW Theory
• Off-diagonal Bethe ansatz solution of the XXX spin-chain with arbitrary boundary conditions
• Integrable model for interacting electrons in metallic grains
• Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
• Algebraic Bethe Ansatz for XYZ Gaudin model
• Exact solution of the XXZ Gaudin model with generic open boundaries
• The Ruijsenaars-Schneider Model in the Context of Seiberg-Witten Theory
• $T$-$Q$ relation and exact solution for the XYZ chain with general nondiagonal boundary terms
• The exact solution and the finite size behaviour of the $Osp(1|2)$ invariant spin chain
• Reflection K-Matrices for 19-Vertex Models
• Boundary quantum group generators of type A
• Exact solution of the one-dimensional Hubbard model with arbitrary boundary magnetic fields
• $A_{n-1}$ Gaudin model with open boundaries
• Exact solution of the Izergin-Korepin model with general non-diagonal boundary terms
• Quasi-classical descendants of disordered vertex models with boundaries
• $Z_n$ elliptic Gaudin model with open boundaries
• Exact solution of the one-dimensional super-symmetric t-J model with unparallel boundary fields
• Gaudin models for gl(m|n)
• Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary
• Chiral coordinate Bethe ansatz for phantom eigenstates in the open XXZ spin-$\frac{1}{2}$ chain
• Off-Shell Bethe Ansatz Equation for $osp(2|1)$ Gaudin Magnets
• Boundary K-matrix for the quantum Mikhailov-Shabat model
• Exact solution of the XXX Gaudin model with the generic open boundaries
• Trigonometric sl(2) Gaudin model with boundary terms
• Algebraic Bethe ansatz for the XXZ Heisenberg spin chain with triangular boundaries and the corresponding Gaudin model