Quantum spin chain with "soliton non-preserving" boundary conditions

Abstract

We consider the case of an integrable quantum spin chain with "soliton non-peserving" boundary conditions. This is the first time that such boundary conditions have been considered in the spin chain framework. We construct the transfer matrix of the model, we study its symmetry and we find explicit expressions for its eigenvalues. Moreover, we derive a new set of Bethe ansatz equations by means of the analytical Bethe ansatz method.

12 pages, LaTeX, two appendices added, minor corrections

References in corpus (6)

• Duality and quantum-algebra symmetry of the A_{N-1}^(1) open spin chain with diagonal boundary fields
• Non-Linear Integral Equations for complex Affine Toda associated to simply laced Lie algebras
• On a_2^(1) Reflection Matrices and Affine Toda Theories
• Soliton-preserving boundary condition in affine Toda field theories
• Fusion and Analytical Bethe Ansatz for the $A_{\n-1}^{(1)}$ Open Spin Chain
• Soliton S matrices for the critical A_{N-1}^(1) chain

Cited by in corpus (37)

• General boundary conditions for the sl(N) and sl(M|N) open spin chains
• Integrable Matrix Product States from boundary integrability
• Spectrum and Bethe ansatz equations for the U_ {q}(gl(N)) closed and open spin chains in any representation
• From affine Hecke algebras to boundary symmetries
• Classification of reflection matrices related to (super) Yangians and application to open spin chain models
• Integrable quenches in nested spin chains I: the exact steady states
• Bethe Ansatz equations and exact S matrices for the osp(M|2n) open super spin chain
• Set theoretic Yang-Baxter & reflection equations and quantum group symmetries
• The generalized non-linear Schrodinger model on the interval
• The Bethe Ansatz Equations for Reflecting Magnons
• Integrable quenches in nested spin chains II: fusion of boundary transfer matrices
• On reflection algebras and twisted Yangians
• On quantum group symmetry and Bethe ansatz for the asymmetric twin spin chain with integrable boundary
• Integrable boundary conditions and modified Lax equations
• Nonstandard Bethe Ansatz equations for open O(N) spin chains
• Boundary Lax pairs for the $A_n^{(1)}$ Toda field theories
• Analytical Bethe Ansatz for open spin chains with soliton non preserving boundary conditions
• Boundary transfer matrices and boundary quantum KZ equations
• $A_n^{(1)}$ affine Toda field theories with integrable boundary conditions revisited
• Integrable boundary conditions for staggered vertex models
• Reflection matrices for the $U_q[sl(m|n{)}^{(1)}]$ vertex model
• Integrable Models From Twisted Half Loop Algebras
• Commuting quantum traces for quadratic algebras
• Spin chains from dynamical quadratic algebras
• (Quantum) twisted Yangians: symmetry, Baxterisation and centralizers
• On boundary super algebras
• Contracted and expanded integrable structures
• Solutions of the $U_q({\widehat{\mathfrak{sl}}}_N)$ reflection equations
• Jumps and twists in affine Toda field theories
• Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry
• Analytical Bethe ansatz in gl(N) spin chains
• Commuting quantum traces: the case of reflection algebras
• The sl(N) twisted Yangian: bulk-boundary scattering & defects
• Lax pair formulation in the simultaneous presence of boundaries and defects
• Scattering matrices in the sl(3) twisted Yangian
• Scattering in Twisted Yangians
• Fermionic reflection matrices