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

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

2011-12-21

arxiv.org/abs/1112.5164v1

Physics

Condensed Matter

Statistical Mechanics

24 pages, LaTeX2e file, 12 eps + 3 pstex figures

Scientific paper

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 S-matrix of the quasiparticles. We find that the finite size spectra can be completely understood in terms of a simple effective model introduced in a previous work, and are consistent with an asymptotic S-matrix of an exchange form. The finite size spectra are, on the other hand, inconsistent with a diagonal asymptotic S-matrix, predicted by the bootstrap solution of the corresponding perturbed conformal field theory.

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