A systematic way to find and construct exact finite dimensional matrix product stationary states

Details A systematic way to find and construct exact finite dimensional matrix product stationary states A systematic way to find and construct exact finite dimensional matrix product stationary states

2011-12-29

arxiv.org/abs/1201.0039v1

Physics

Condensed Matter

Statistical Mechanics

This article will appear in the proceedings of "Workshop on Matrix Product State Formulation and Density Matrix Renormalizatio

Scientific paper

We explain how to construct matrix product stationary states which are composed of finite-dimensional matrices. Our construction explained in this article was first presented in a part of [Hieida and Sasamoto:J. Phys. A: Math. Gen. 37 (2004) 9873] for general models. In this article, we give more details on the treatment than in the above-mentioned reference, for one-dimensional asymmetric simple exclusion process(ASEP).

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