Retrieve the Bethe states of quantum integrable models solved via off-diagonal Bethe Ansatz

Abstract

Based on the inhomogeneous T-Q relation constructed via the off-diagonal Bethe Ansatz, a systematic method for retrieving the Bethe-type eigenstates of integrable models without obvious reference state is developed by employing certain orthogonal basis of the Hilbert space. With the XXZ spin torus model and the open XXX spin-1/2 chain as examples, we show that for a given inhomogeneous T-Q relation and the associated Bethe Ansatz equations, the constructed Bethe-type eigenstate has a well-defined homogeneous limit.

arXiv comment21 pages, no figure, published version

Cited by in corpus (4)

• Modified algebraic Bethe ansatz for XXZ chain on the segment - I - triangular cases
• Integrable approach to simple exclusion processes with boundaries. Review and progress
• Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
• Exact surface energy of the $D_2^{(1)}$ spin chain with generic non-diagonal boundary reflections