Quantum Inverse Scattering Method with anyonic grading
Mathematical Physics
2009-06-20 v2 math.MP
Abstract
We formulate the Quantum Inverse Scattering Method for the case of anyonic grading. This provides a general framework for constructing integrable models describing interacting hard-core anyons. Through this method we reconstruct the known integrable model of hard core anyons associated with the XXX model, and as a new application we construct the anyonic model. The energy spectrum for each model is derived by means of a generalisation of the algebraic Bethe ansatz. The grading parameters implementing the anyonic signature give rise to sector-dependent phase factors in the Bethe ansatz equations.
Keywords
Cite
@article{arxiv.0807.3197,
title = {Quantum Inverse Scattering Method with anyonic grading},
author = {M T Batchelor and A Foerster and X-W Guan and J Links and H-Q Zhou},
journal= {arXiv preprint arXiv:0807.3197},
year = {2009}
}
Comments
14 pages, revised version, some clarifications in text, references added and upated