77 research outputs found
Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries
The nested off-diagonal Bethe ansatz method is proposed to diagonalize
multi-component integrable models with generic integrable boundaries. As an
example, the exact solutions of the su(n)-invariant spin chain model with both
periodic and non-diagonal boundaries are derived by constructing the nested T-Q
relations based on the operator product identities among the fused transfer
matrices and the asymptotic behavior of the transfer matrices.Comment: Published versio
Bethe Ansatz for the Spin-1 XXX Chain with Two Impurities
By using algebraic Bethe ansatz method, we give the Hamitonian of the spin-1
XXX chain associated with with two boundary impurities.Comment: 8 pages, latex, no figures, to be appeared in Commun. Theor. Phy
Exact solution of the spin-s Heisenberg chain with generic non-diagonal boundaries
The off-diagonal Bethe ansatz method is generalized to the high spin
integrable systems associated with the su(2) algebra by employing the spin-s
isotropic Heisenberg chain model with generic integrable boundaries as an
example. With the fusion techniques, certain closed operator identities for
constructing the functional T-Q relations and the Bethe ansatz equations are
derived. It is found that a variety of inhomogeneous T-Q relations obeying the
operator product identities can be constructed. Numerical results for two-site
s=1 case indicate that an arbitrary choice of the derived T-Q relations is
enough to give the complete spectrum of the transfer matrix.Comment: 26 pages, 2 tables, 1 figure, published versio
Spin-1/2 XYZ model revisit: general solutions via off-diagonal Bethe ansatz
The spin-1/2 XYZ model with both periodic and anti-periodic boundary
conditions is studied via the off-diagonal Bethe ansatz method. The exact
spectra of the Hamiltonians and the Bethe ansatz equations are derived by
constructing the inhomogeneous T-Q relations, which allow us to treat both the
even N (the number of lattice sites) and odd N cases simultaneously in an
unified approach.Comment: 20 pages, 3 tables, published version, numerical check is adde
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