Heisenberg XXX Model with General Boundaries : Eigenvectors from Algebraic Bethe Ansatz

@inproceedings{Belliard2013HeisenbergXM,
  title={Heisenberg XXX Model with General Boundaries : Eigenvectors from Algebraic Bethe Ansatz},
  author={S Belliard and Nicolas Cramp{\'e}},
  year={2013}
}
We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to the eigenvalues and the Bethe equations found recently by Cao et al. The ansatz takes the usual form of a product of operators acting on a particular vector except that the number of operators is equal to the length of the chain. We prove this result for the chains with small length. We obtain also an off-shell equation (i.e. satisfied without… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 35 references

Algebraic Bethe ansatz for open XXX model with triangular boundary matrices

  • S. Belliard, N. Crampé, E. Ragoucy
  • Lett. Math. Phys
  • 2013
Highly Influential
14 Excerpts

Inhomogeneous T -Q equation for the open XXX chain with general boundary terms: completeness and arbitrary spin

  • R. I. Nepomechie
  • J. Phys. A: Math. Theor
  • 2013
Highly Influential
5 Excerpts

Off-diagonal Bethe ansatz solution of the XXX spin-chain with arbitrary boundary conditions

  • J. Cao, W. L. Yang, K. Shi, Y. Wang
  • Nuclear Phys. B
  • 2013
Highly Influential
10 Excerpts

Boundary conditions for integrable quantum systems

  • E. K. Sklyanin
  • J. Phys. A: Math. Gen
  • 1988
Highly Influential
6 Excerpts

Algebraic Bethe ansatz for the six vertex model with upper triangular K-matrices

  • R. A. Pimenta, A. Lima-Santos
  • J. Phys. A: Math. Theor
  • 2013
Highly Influential
9 Excerpts

Generalized coordinate Bethe ansatz for non-diagonal boundaries

  • N. Crampé, E. Ragoucy
  • Nuclear Phys. B
  • 2012
Highly Influential
5 Excerpts

Matrix coordinate Bethe ansatz: applications to XXZ and ASEP models

  • N. Crampé, E. Ragoucy, D. Simon
  • J. Phys. A: Math. Theor
  • 2011
Highly Influential
4 Excerpts

Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions

  • N. Crampé, E. Ragoucy, D. Simon
  • J. Stat. Mech. Theory Exp. 2010 (2010),
  • 2010
Highly Influential
4 Excerpts

Bethe ansatz for the XXX-S chain with non-diagonal open boundaries

  • C. S. Melo, G.A.P. Ribeiro, M. J. Martins
  • Nuclear Phys. B
  • 2005
Highly Influential
8 Excerpts

Similar Papers

Loading similar papers…