%0 Journal Article
%T Effective One-Dimensional Models from Matrix Product States
%A Frederik Keim
%A G£¿tz S. Uhrig
%J Physics
%D 2015
%I arXiv
%R 10.1140/epjb/e2015-60188-0
%X In this paper we present a method for deriving effective one-dimensional models based on the matrix product state formalism. It exploits translational invariance to work directly in the thermodynamic limit. We show, how a representation of the creation operator of single quasi-particles in both real and momentum space can be extracted from the dispersion calculation. The method is tested for the analytically solvable Ising model in a transverse magnetic field. Properties of the matrix product representation of the creation operator are discussed and validated by calculating the one-particle contribution to the spectral weight. Results are also given for the ground state energy and the dispersion.
%U http://arxiv.org/abs/1503.02616v2