Generalized coordinate Bethe ansatz for non diagonal boundaries
arXiv:1105.0338 · doi:10.1016/j.nuclphysb.2012.01.020
Abstract
We compute the spectrum and the eigenstates of the open XXX model with non-diagonal (triangular) boundary matrices. Since the boundary matrices are not diagonal, the usual coordinate Bethe ansatz does not work anymore, and we use a generalization of it to solve the problem.
11 pages; References added and misprints corrected
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Cited by in corpus (24)
- Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields
- Off-diagonal Bethe ansatz solution of the XXX spin-chain with arbitrary boundary conditions
- Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and matrix elements of some quasi-local operators
- Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
- Complete spectrum and scalar products for the open spin-1/2 XXZ quantum chains with non-diagonal boundary terms
- The open XXX spin chain in the SoV framework: scalar product of separate states
- Algebraic Bethe ansatz for open XXX model with triangular boundary matrices
- 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
- Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries
- The open XXZ spin chain in the SoV framework: scalar product of separate states
- Integrable dissipative exclusion process: Correlation functions and physical properties
- Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary
- Algebraic Bethe ansatz for the six vertex model with upper triangular -matrices
- Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra II
- Algebraic Bethe ansatz for the totally asymmetric simple exclusion process with boundaries
- On Separation of Variables for Reflection Algebras
- Eigenstates of triangularisable open XXX spin chains and closed-form solutions for the steady state of the open SSEP
- Classification of three-state Hamiltonians solvable by Coordinate Bethe Ansatz
- Inversion identities for inhomogeneous face models
- 3-state Hamiltonians associated to solvable 33-vertex models
- Coordinate Bethe Ansätze for non-diagonal boundaries
- Effects of Quantum Pair Creation and Annihilation on a Classical Exclusion Process: the transverse XY model with TASEP
- Inhomogeneous discrete-time exclusion processes