Matrix Product Ground States for Asymmetric Exclusion Processes with Parallel Dynamics

Details Matrix Product Ground States for Asymmetric Exclusion Processes with Parallel Dynamics Matrix Product Ground States for Asymmetric Exclusion Processes with Parallel Dynamics

1995-12-27

arxiv.org/abs/cond-mat/9512172v1

J. Phys. A: Math. Gen. 29 (1996) 3659

Physics

Condensed Matter

LaTeX, 8 pages, one postscript figure

Scientific paper

10.1088/0305-4470/29/13/030

We show in the example of a one-dimensional asymmetric exclusion process that
stationary states of models with parallel dynamics may be written in a matrix
product form. The corresponding algebra is quadratic and involves three
different matrices. Using this formalism we prove previous conjectures for the
equal-time correlation functions of the model.

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