Application of the Density Matrix Renormalization Group Method to a Non-Equilibrium Problem
Statistical Mechanics
2009-10-30 v1
Abstract
We apply the density matrix renormalization group (DMRG) method to a non-equilibrium problem: the asymmetric exclusion process in one dimension. We study the stationary state of the process to calculate the particle density profile (one-point function). We show that, even with a small number of retained bases, the DMRG calculation is in excellent agreement with the exact solution obtained by the matrix-product-ansatz approach.
Keywords
Cite
@article{arxiv.cond-mat/9711072,
title = {Application of the Density Matrix Renormalization Group Method to a Non-Equilibrium Problem},
author = {Yasuhiro Hieida},
journal= {arXiv preprint arXiv:cond-mat/9711072},
year = {2009}
}
Comments
8 pages, LaTeX (using jpsj.sty), 4 non-embedded figures, submitted to J. Phys. Soc. Jpn