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arXiv · 1712.08525

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

Pei Sun·Zhirong Xin·Yi Qiao·Fakai Wen·Kun Hao·Junpeng Cao·Guang-Liang Li·Tao Yang·Wen-Li Yang·Kangjie Shi
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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.

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Pei Sun, Zhirong Xin, Yi Qiao, Fakai Wen, Kun Hao, Junpeng Cao, Guang-Liang Li, Tao Yang, Wen-Li Yang, Kangjie Shi. 2018-06-25. Bethe states of the trigonometric SU(3) spin chain with generic open boundaries. https://doi.org/10.1016/j.nuclphysb.2018.04.025

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