A systematic way to find and construct exact finite dimensional matrix product stationary states
Statistical Mechanics
2016-11-23 v1
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).
Keywords
Cite
@article{arxiv.1201.0039,
title = {A systematic way to find and construct exact finite dimensional matrix product stationary states},
author = {Yasuhiro Hieida and Tomohiro Sasamoto},
journal= {arXiv preprint arXiv:1201.0039},
year = {2016}
}
Comments
This article will appear in the proceedings of "Workshop on Matrix Product State Formulation and Density Matrix Renormalization Group Simulations (MPS&DMRG)" to be published by World Scientific