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A representation basis for the quantum integrable spin chain associated with the su(n) algebra | | Kun Hao
; Junpeng Cao
; Guang-Liang Li
; Wen-Li Yang
; Kangjie Shi
; Yupeng Wang
; | | Date: |
19 Jan 2016 | | Abstract: | An orthogonal basis of the Hilbert space for the quantum spin chain
associated with the su(n) algebra is introduced. Such kind of basis could be
treated as a nested generalization of separation of variables (SoV) basis for
high-rank quantum integrable models. It is found that each basis vector is in
fact an off-shell Bethe state with entries of generators taking values in a
fixed set of inhomogeneity parameters ${ heta_j|j=1,cdots,N}$, and all the
monodromy-matrix elements acting on a basis vector take simple forms. This
finding allows one to construct similar basis for other high-rank quantum
integrable models in the framework of algebraic Bethe Ansatz. As an example of
application of such kind of basis, we construct exact eigenstates of the su(3)
spin torus (the trigonometric su(3) spin chain with antiperiodic boundary
condition) based on its spectrum obtained via off-diagonal Bethe Ansatz (ODBA). | | Source: | arXiv, 1601.4771 | | Services: | Forum | Review | PDF | Favorites | |
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