Matrix Product Ground States for Asymmetric Exclusion Processes with Parallel Dynamics
arXiv:cond-mat/9512172 · doi:10.1088/0305-4470/29/13/030
Abstract
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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