Matrix product ground states for exclusion processes with parallel dynamics
- 7 July 1996
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 29 (13) , 3659-3667
- https://doi.org/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.Keywords
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