17,514 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
Unified parametrization of quark and lepton mixing matrices in tri-bimaximal pattern
Parametrization of the quark and lepton mixing matrices is the first attempt
to understand the mixing of fermions. In this work, we parameterize the quark
and lepton matrices with the help of quark-lepton complementarity (QLC) in a
tri-bimaximal pattern of lepton mixing matrix. In this way, we combine the
parametrization of the two matrices with each other. We apply this new
parametrization to several physical quantities, and show its simplicity in the
expression of, e.g., the Jarlskog parameter of CP violation.Comment: 12 latex page
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
- …