4,863 research outputs found
Exact solution of the trigonometric SU(3) spin chain with generic off-diagonal boundary reflections
The nested off-diagonal Bethe ansatz is generalized to study the quantum spin
chain associated with the R-matrix and generic integrable
non-diagonal boundary conditions. By using the fusion technique, certain closed
operator identities among the fused transfer matrices at the inhomogeneous
points are derived. The corresponding asymptotic behaviors of the transfer
matrices and their values at some special points are given in detail. Based on
the functional analysis, a nested inhomogeneous T-Q relations and Bethe ansatz
equations of the system are obtained. These results can be naturally
generalized to cases related to the algebra.Comment: published version, 27 pages, 1 table, 1 figur
On the Bethe states of the one-dimensional supersymmetric t-J model with generic open boundaries
By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we
investigate the supersymmetric t-J 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 states which have well-defined homogeneous limit. This exact solution
provides basis for further analyzing the thermodynamic properties and
correlation functions of the model.Comment: 17 pages, 2 tables, published versio
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