Complete Bethe Ansatz solution of the open spin-s XXZ chain with general integrable boundary terms

Abstract

We consider the open spin-s XXZ quantum spin chain with N sites and general integrable boundary terms for generic values of the bulk anisotropy parameter, and for values of the boundary parameters which satisfy a certain constraint. We derive two sets of Bethe Ansatz equations, and find numerical evidence that together they give the complete set of $(2s+1{)}^N$ eigenvalues of the transfer matrix. For the case s=1, we explicitly determine the Hamiltonian, and find an expression for its eigenvalues in terms of Bethe roots.

23 pages -- Latex2e; misprints in appendix corrected

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Cited by in corpus (24)

• Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions
• Matrix Coordinate Bethe Ansatz: Applications to XXZ and ASEP models
• Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra I
• Bethe Ansatz and Q-operator for the open ASEP
• Generalized coordinate Bethe ansatz for non diagonal boundaries
• Nested Bethe ansatz for `all' open spin chains with diagonal boundary conditions
• Bethe ansatz of the open spin-s XXZ chain with nondiagonal boundary terms
• The open XXZ spin chain in the SoV framework: scalar product of separate states
• Algebraic Bethe ansatz for the six vertex model with upper triangular $K$-matrices
• Integrable Floquet dynamics, generalized exclusion processes and "fused" matrix ansatz
• Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
• Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra II
• On Separation of Variables for Reflection Algebras
• Truncation identities for the small polaron fusion hierarchy
• Generalized T-Q relations and the open spin-s XXZ chain with nondiagonal boundary terms
• Thermodynamic limit and boundary energy of the spin-1 Heisenberg chain with non-diagonal boundary fields
• On the complete-spectrum characterization of quantum integrable spin chains via the inhomogeneous T-Q relation
• Edge Spin fractionalization in one-dimensional spin-$S$ quantum antiferromagnets
• Spin Drude weight for the integrable XXZ chain with arbitrary spin
• A note on the IR limit of the NLIEs of boundary supersymmetric sine-Gordon model
• On the NLIE of (inhomogeneous) open spin-1 XXZ chain with general integrable boundary terms
• Bethe States of the integrable spin-s chain with generic open boundaries
• Spin-$s$ $Q$-systems: Twist and Open Boundaries
• NLIE and finite size effects of the spin-1/2 XXZ and sine-Gordon models with two boundaries revisited