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arXiv:1410.5991 · Journal of Statistical Mechanics Theory and Experiment

Scattering matrices in the $\mathfrak{sl}({\mbox{\sffamily\bfseries 3}})$ twisted Yangian

Jean Avan, Anastasia Doikou, Nikos Karaiskos

Published Feb 3, 2015• 2 citations
arXivHTMLPDF

Abstract

A quantum spin chain with non-conventional boundary conditions is studied. The distinct nature of these boundary conditions arises from the conversion of a soliton to an anti-soliton after being reflected by the boundary, hence the appellation soliton non-preserving boundary conditions. We focus on the simplest non-trivial case of this class of models based on the twisted Yangian quadratic algebra. Our computations are performed through the Bethe ansatz equations in the thermodynamic limit. We formulate a suitable quantization condition describing the scattering process and proceed with explicitly determining the bulk and boundary scattering amplitudes. The energy and quantum numbers of the low lying excitations are also derived.

DOI
10.1088/1742-5468/2015/02/p02007

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The sl(N)\mathfrak{sl}({\mathcal N})sl(N) twisted Yangian: bulk-boundary scattering and defects
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