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

DOI10.1088/1742-5468/2015/05/P05014zbMATH Open1456.82328arXiv1407.5294OpenAlexW3102175233MaRDI QIDQ3302243

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Publication date: 11 August 2020

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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.

Full work available at URL: https://arxiv.org/abs/1407.5294

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