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Bethe states of the XXZ spin-1/2 chain with arbitrary boundary fields | | Xin Zhang
; Yuan-Yuan Li
; Junpeng Cao
; Wen-Li Yang
; Kangjie Shi
; Yupeng Wang
; | | Date: |
22 Dec 2014 | | Abstract: | 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. | | Source: | arXiv, 1412.6905 | | Services: | Forum | Review | PDF | Favorites | |
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