Application of the Density Matrix Renormalization Group Method to a Non-Equilibrium Problem

Details Application of the Density Matrix Renormalization Group Method to a Non-Equilibrium Problem Application of the Density Matrix Renormalization Group Method to a Non-Equilibrium Problem

1997-11-08

arxiv.org/abs/cond-mat/9711072v1

J. Phys. Soc. Jpn. 67 (1998) 369.

Physics

Condensed Matter

Statistical Mechanics

8 pages, LaTeX (using jpsj.sty), 4 non-embedded figures, submitted to J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.67.369

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.

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