# Asymptotic scattering and duality in the one-dimensional three-state quantum Potts model on a lattice

@article{Rapp2011AsymptoticSA, title={Asymptotic scattering and duality in the one-dimensional three-state quantum Potts model on a lattice}, author={{\'A}kos Rapp and Peter Schmitteckert and G{\'a}bor Tak{\'a}cs and Gergely Zar{\'a}nd}, journal={arXiv: Statistical Mechanics}, year={2011} }

We determine numerically the single-particle and the two-particle spectrum of the three-state quantum Potts model on a lattice by using the density matrix renormalization group method, and extract information on the asymptotic (small momentum) S-matrix of the quasiparticles. The low energy part of the finite size spectrum can be understood in terms of a simple effective model introduced in a previous work, and is consistent with an asymptotic S-matrix of an exchange form below a momentum scale… Expand

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