Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases

Abstract

The spectral problem of the Heisenberg XXZ spin-$\frac{1}{2}$ chain on the segment is investigated within a modified algebraic Bethe ansatz framework. We consider in this work the most general boundaries allowed by integrability. The eigenvalues and the eigenvectors are obtained. They are characterised by a set of Bethe roots with cardinality equal to $N$, the length of the chain, and which satisfies a set of Bethe equations with an additional term.

V2 published version

References in corpus (8)

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• Scale-free non-Hermitian skin effect in a boundary-dissipated spin chain
• Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary
• Exact solutions of the $C_n$ quantum spin chain
• $U_q{\mathfrak{sl}}_2$-invariant non-compact boundary conditions for the XXZ spin chain
• Bethe ansatz diagonalization of the Heun-Racah operator
• On correlation functions for the open XXZ chain with non-longitudinal boundary fields : the case with a constraint
• Surface energy and elementary excitations of the XYZ spin chain with integrable open boundary fields
• Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundaries
• Off-diagonal approach to the exact solution of quantum integrable systems
• Elementary excitations in an integrable twisted J1-J2 spin chain in the thermodynamic limit
• Non-linear integral equations for the XXX spin-1/2 quantum chain with non-diagonal boundary fields
• Universal TT- and TQ-relations via centrally extended q-Onsager algebra