On Matrix Product Ground States for Reaction-Diffusion Models

Details On Matrix Product Ground States for Reaction-Diffusion Models On Matrix Product Ground States for Reaction-Diffusion Models

1995-10-19

arxiv.org/abs/cond-mat/9510104v1

J. Phys. A: Math. Gen. 29 (1996) 2643-2649

Physics

Condensed Matter

LaTeX source, 7 pages, no figures

Scientific paper

10.1088/0305-4470/29/11/005

We discuss a new mechanism leading to a matrix product form for the stationary state of one-dimensional stochastic models. The corresponding algebra is quadratic and involves four different matrices. For the example of a coagulation-decoagulation model explicit four-dimensional representations are given and exact expressions for various physical quantities are recovered. We also find the general structure of $n$-point correlation functions at the phase transition.

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