Junpeng Cao, Wen-Li Yang, Kangjie Shi, Yupeng Wang
Published 2014-07-20, updated 2014-10-14Version 2
Based on the inhomogeneous T-Q relation constructed via the off-diagonal Bethe Ansatz (ODBA), a systematic method for retrieving the Bethe-type eigenstates of integrable models 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 (BAEs), a corresponding Bethe-type eigenstate of the transfer matrix can be constructed. This scheme allows us to reach the homogeneous limit of the separation of variables (SoV) eigenstates and therefore provides a clear connection among the ODBA, the SoV and the algebraic Bethe Ansatz.
Comments: 28 pages, no figure, extensively revised version with new contents about the open XXX spin chain. Two new authors are added
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