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

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Cited by in corpus (7)

• Modified algebraic Bethe ansatz for XXZ chain on the segment - I - triangular cases
• Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra I
• Why scalar products in the algebraic Bethe ansatz have determinant representation
• Phantom Bethe roots in the integrable open spin $1/2$ $XXZ$ 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