Off-diagonal Bethe ansatz solution of the XXX spin-chain with arbitrary boundary conditions

2013/06/30 by Junpeng Cao, Wenli Yang, Kangjie Shi +1 · 1 citation
Mathematics · Physics and Astronomy · #cond-mat.stat-mech #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/j.nuclphysb.2013.06.022

published as Nucl. Phys. B 875[FS] (2013) 152-165 · 19 pages, published version

arxiv created 2013/08/12 · arxiv updated 2015/06/16

Abstract

With the off-diagonal Bethe ansatz method proposed recently by the present authors, we exactly diagonalize the XXX spin chain with arbitrary boundary fields. By constructing a functional relation between the eigenvalues of the transfer matrix and the quantum determinant, the associated T-Q relation and the Bethe ansatz equations are derived.

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• Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields

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