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

Xin Zhang; Yuan-Yuan Li; Junpeng Cao; Wen-Li Yang; Kangjie Shi; Yupeng Wang

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

Mathematical Physics 2015-07-16 v4 Statistical Mechanics High Energy Physics - Theory math.MP

Authors: Xin Zhang , Yuan-Yuan Li , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

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.

Keywords

Bethe Ansatz quantum integrable models T-Q relation eigenstates XXZ spin torus model XXX spin chain

Cite

@article{arxiv.1407.5294,
  title  = {Retrieve the Bethe states of quantum integrable models solved via off-diagonal Bethe Ansatz},
  author = {Xin Zhang and Yuan-Yuan Li and Junpeng Cao and Wen-Li Yang and Kangjie Shi and Yupeng Wang},
  journal= {arXiv preprint arXiv:1407.5294},
  year   = {2015}
}

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21 pages, no figure, published version

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

Abstract

Keywords

Cite

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