Stochastic Light-Cone CTMRG: a new DMRG approach to stochastic models

Details Stochastic Light-Cone CTMRG: a new DMRG approach to stochastic models Stochastic Light-Cone CTMRG: a new DMRG approach to stochastic models

2002-10-22

arxiv.org/abs/cond-mat/0210487v1

J. Phys. A: Math. Gen. 36, 29-41 (2003)

Physics

Condensed Matter

Statistical Mechanics

15 pages, uses IOP style

Scientific paper

10.1088/0305-4470/36/1/303

We develop a new variant of the recently introduced stochastic transfer-matrix DMRG which we call stochastic light-cone corner-transfer-matrix DMRG (LCTMRG). It is a numerical method to compute dynamic properties of one-dimensional stochastic processes. As suggested by its name, the LCTMRG is a modification of the corner-transfer-matrix DMRG (CTMRG), adjusted by an additional causality argument. As an example, two reaction-diffusion models, the diffusion-annihilation process and the branch-fusion process, are studied and compared to exact data and Monte-Carlo simulations to estimate the capability and accuracy of the new method. The number of possible Trotter steps of more than 10^5 shows a considerable improvement to the old stochastic TMRG algorithm.

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