Bethe Ansatz solution of the small polaron with nondiagonal boundary terms
arXiv:1304.2659 · doi:10.1088/1742-5468/2013/07/P07009
Abstract
The small polaron with generic, nondiagonal boundary terms is investigated within the framework of quantum integrability. The fusion hierarchy of the transfer matrices and its truncation for particular values of the anisotropy parameter are both employed, so that the spectral problem is formulated in terms of a TQ equation. The solution of this equation for generic boundary conditions is based on a deformation of the diagonal case. The eigenvalues of the model are extracted and the corresponding Bethe Ansatz equations are presented. Finally, we comment on the eigenvectors of the model and explicitly compute the eigenstate of the model which evolves into the Fock vacuum when the off-diagonal boundary terms are switched off.
24 pages, Latex; Improved presentation, an appendix and references added; Published version
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Cited by in corpus (5)
- Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields
- Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
- Modified algebraic Bethe ansatz for XXZ chain on the segment - I - triangular cases
- Small polaron with generic open boundary conditions revisit: exact solution via the off-diagonal Bethe ansatz
- Fermionic reflection matrices