Xin Zhang, Yuan-Yuan Li, Junpeng Cao, Wen-Li Yang, Kangjie Shi, Yupeng Wang
Published 2014-12-22Version 1
Based on the inhomogeneous T-Q relation constructed via the off-diagonal Bethe Ansatz (ODBA), the Bethe-type eigenstates of the XXZ spin-1/2 chain with arbitrary boundary fields are constructed. It is found that by employing two sets of gauge transformations, proper generators and reference state for constructing Bethe vectors can be obtained respectively. Given an inhomogeneous T-Q relation for the eigenvalue, it is proven that the resulting Bethe state is an eigenstate of the transfer matrix, provided that the parameters of the generators satisfy the associated Bethe Ansatz equations.
Comments: 22 pages, no figure
Retrieve the Bethe states of quantum integrable models solved via off-diagonal Bethe Ansatz
On the inhomogeneous T-Q relation for quantum integrable models
Bethe ansatz solution of the $τ_2$-model with arbitrary boundary fields
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