A systematic way to find and construct exact finite dimensional matrix product stationary states
Yasuhiro Hieida (Saga University), Tomohiro Sasamoto (Chiba, University)
TL;DR
This paper details a systematic method for constructing exact finite-dimensional matrix product stationary states, focusing on the one-dimensional asymmetric simple exclusion process, with enhanced explanations over previous work.
Contribution
It provides a detailed, systematic approach to constructing finite-dimensional matrix product stationary states for ASEP, expanding on prior methods with clearer explanations.
Findings
Explicit construction method for finite-dimensional matrix product states.
Application to one-dimensional ASEP model.
Enhanced clarity over previous formulations.
Abstract
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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