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

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.

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

References in corpus (3)

• Corner Transfer Matrix Algorithm for Classical Renormalization Group
• Thermodynamics of the anisotropic Heisenberg chain calculated by the density matrix renormalization group method
• Finite Dimensional Representations of the Quadratic Algebra: Applications to the Exclusion Process

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