Algebraic Bethe ansatz for open XXX model with triangular boundary matrices
arXiv:1209.4269 · doi:10.1007/s11005-012-0601-6
Abstract
We consider open XXX spins chain with two general boundary matrices submitted to one constraint, which is equivalent to the possibility to put the two matrices in a triangular form. We construct Bethe vectors from a generalized algebraic Bethe ansatz. As usual, the method also provides Bethe equations and transfer matrix eigenvalues.
10 pges
References in corpus (5)
- Antiperiodic spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and form factors
- Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and matrix elements of some quasi-local operators
- Separation of Variables in the open XXX chain
- Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions
- Exact solutions and elementary excitations in the XXZ spin chain with unparallel boundary fields
Cited by in corpus (44)
- Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields
- The half-infinite XXZ chain in Onsager's approach
- Off-diagonal Bethe ansatz solution of the XXX spin-chain with arbitrary boundary conditions
- Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
- Modified algebraic Bethe ansatz for XXZ chain on the segment - I - triangular cases
- Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases
- Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof
- Integrable approach to simple exclusion processes with boundaries. Review and progress
- The open XXX spin chain in the SoV framework: scalar product of separate states
- Bethe states of the XXZ spin-1/2 chain with arbitrary boundary fields
- Open spin chains with generic integrable boundaries: Baxter equation and Bethe ansatz completeness from SOV
- Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra I
- Bethe Ansatz and Q-operator for the open ASEP
- Slavnov and Gaudin-Korepin Formulas for Models without Symmetry: the Twisted XXX Chain
- Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries
- Open two-species exclusion processes with integrable boundaries
- Correlation functions of the half-infinite XXZ spin chain with a triangular boundary
- Non-compact quantum spin chains as integrable stochastic particle processes
- The open XXZ spin chain in the SoV framework: scalar product of separate states
- Modified Algebraic Bethe Ansatz: Twisted XXX Case
- Integrable dissipative exclusion process: Correlation functions and physical properties
- Algebraic Bethe ansatz for the six vertex model with upper triangular -matrices
- Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary
- Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model
- Exact solution of the spin-s Heisenberg chain with generic non-diagonal boundaries
- Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra II
- Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
- Algebraic Bethe ansatz for the totally asymmetric simple exclusion process with boundaries
- Algebraic Bethe ansatz for the sl(2) Gaudin model with boundary
- On Separation of Variables for Reflection Algebras
- Common framework and quadratic Bethe equations for rational Gaudin magnets in arbitrarily oriented magnetic fields
- Eigenstates of triangularisable open XXX spin chains and closed-form solutions for the steady state of the open SSEP
- Slavnov and Gaudin-Korepin formulas for models without symmetry: the XXX chain on the segment
- Algebraic Bethe ansatz for the XXZ Heisenberg spin chain with triangular boundaries and the corresponding Gaudin model
- Symmetric functions and wavefunctions of the six-vertex model by Izergin-Korepin analysis
- Scalar product for the XXZ spin chain with general integrable boundaries
- Exact Large Deviations of the Current in the Asymmetric Simple Exclusion Process with Open Boundaries
- 3-state Hamiltonians associated to solvable 33-vertex models
- - relations for the integrable two-species asymmetric simple exclusion process with open boundaries
- Solutions of convex Bethe Ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials
- Coordinate Bethe Ansätze for non-diagonal boundaries
- Algebraic Bethe ansatz for 19-vertex models with upper triangular K-matrices
- Inhomogeneous discrete-time exclusion processes
- Bethe States of the integrable spin-s chain with generic open boundaries