Equivalences between spin models induced by defects

Abstract

The spectrum of integrable spin chains are shown to be independent of the ordering of their spins. As an application we introduce defects (local spin inhomogeneities in homogenous chains) in two-boundary spin systems and, by changing their locations, we show the spectral equivalence of different boundary conditions. In particular we relate certain nondiagonal boundary conditions to diagonal ones.

14 pages, 16 figures, LaTeX, Extended version

References in corpus (7)

• Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
• Q-operator and T-Q relation from the fusion hierarchy
• Magic in the spectra of the XXZ quantum chain with boundaries at Delta=0 and Delta=-1/2
• Bethe ansatz for the XXX-S chain with non-diagonal open boundaries
• Some aspects of jump-defects in the quantum sine-Gordon model
• Raise and Peel Models of fluctuating interfaces and combinatorics of Pascal's hexagon
• Mixed integrable SU(N) vertex model with arbitrary twists

Cited by in corpus (31)

• Exact Spectral Gaps of the Asymmetric Exclusion Process with Open Boundaries
• Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields
• Construction of a Coordinate Bethe Ansatz for the asymmetric simple exclusion process with open boundaries
• Modified algebraic Bethe ansatz for XXZ chain on the segment - I - triangular cases
• Exact solution of the open XXZ chain with general integrable boundary terms at roots of unity
• Twisted Bethe equations from a twisted S-matrix
• Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra I
• Complete Bethe Ansatz solution of the open spin-s XXZ chain with general integrable boundary terms
• Universal R-matrix and functional relations
• Exact solution of the Izergin-Korepin model with general non-diagonal boundary terms
• SOV approach for integrable quantum models associated to general representations on spin-1/2 chains of the 8-vertex reflection algebra
• The open XXZ and associated models at q root of unity
• The sine-Gordon model with integrable defects revisited
• Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra II
• Separation of variables bases for integrable $g{l}_{\mathcal{M}|\mathcal{N}}$ and Hubbard models
• Determinant representations for scalar products of the XXZ Gaudin model with general boundary terms
• Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end
• Scalar products of the open XYZ chain with non-diagonal boundary terms
• Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms
• Integrability of open boundary driven quantum circuits
• Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end
• Generalized T-Q relations and the open spin-s XXZ chain with nondiagonal boundary terms
• Transmission amplitudes from Bethe ansatz equations
• A note on gl_N type-I integrable defects
• Boundary energy of the general open XXZ chain at roots of unity
• A representation basis for the quantum integrable spin chain associated with the su(3) algebra
• Generic boundary scattering in the open XXZ chain
• The sine-Gordon model in the presence of defects
• Drinfeld twist and symmetric Bethe vectors of the open XYZ chain with non-diagonal boundary terms
• A note on a boundary sine-Gordon model at the free-Fermion point
• NLIE and finite size effects of the spin-1/2 XXZ and sine-Gordon models with two boundaries revisited