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arXiv:1712.08525 · Nuclear Physics B

Bethe states of the trigonometric SU(3) spin chain with generic open boundaries

Pei Sun, Zhirong Xin, Yi Qiao, Fa-Kai Wen, Kun Hao, Junpeng Cao, Guang-Liang Li, Tao Yang, Wen‐Li Yang, Kangjie Shi

Published May 4, 2018• 3 citations
arXivHTMLPDF

Abstract

By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the trigonometric SU(3) model with generic open boundaries. The eigenvalues of the transfer matrix are given in terms of an inhomogeneous T−Q relation, and the corresponding eigenstates are expressed in terms of nested Bethe-type eigenstates which have well-defined homogeneous limit. This exact solution provides a basis for further analyzing the thermodynamic properties and correlation functions of the anisotropic models associated with higher rank algebras.

DOI
10.1016/j.nuclphysb.2018.04.025

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By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the trigonometric SU(3) model with generic open boundaries. The eigenvalues of the transfer matrix are given in terms of an inhomogeneous T−Q relation, and the corresponding eigenstates are expressed in terms of nested Bethe-type eigenstates which have well-defined homogeneous limit. This exact solution provides a basis for further analyzing the thermodynamic properties and correlation functions of the anisotropic models associated with higher rank algebras.
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