Algebraic Bethe Ansatz for Open XXX Model with Triangular Boundary Matrices

We consider an open XXX spin chain with two general boundary matrices whose entries obey a relation, which is equivalent to the possibility to put simultaneously the two matrices in a upper-triangular form. We construct Bethe vectors by means of a generalized algebraic Bethe ansatz. As usual, the me...

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Bibliographic Details
Published in:Letters in mathematical physics 2013-05, Vol.103 (5), p.493-506
Main Authors: Belliard, Samuel, Crampé, Nicolas, Ragoucy, Eric
Format: Article
Language:English
Subjects:
Complex Systems
Exactly Solvable and Integrable Systems
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Mathematical Physics
Mathematics
Nonlinear Sciences
Physics
Physics and Astronomy
Theoretical
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Summary:We consider an open XXX spin chain with two general boundary matrices whose entries obey a relation, which is equivalent to the possibility to put simultaneously the two matrices in a upper-triangular form. We construct Bethe vectors by means of a generalized algebraic Bethe ansatz. As usual, the method uses Bethe equations and provides transfer matrix eigenvalues.
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-012-0601-6