A Systematic way to Find and Construct Exact Finite Dimensional Matrix-Product Stationary States
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 p. 9873 (2004)] 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).
- Publication:
-
Frontiers In Quantum Information Research. Edited by Nakahara Mikio -. Published by World Scientific Publishing Co. Pte. Ltd
- Pub Date:
- 2012
- DOI:
- 10.1142/9789814407199_0013
- arXiv:
- arXiv:1201.0039
- Bibcode:
- 2012fqir.book..322H
- Keywords:
-
- Condensed Matter - Statistical Mechanics
- E-Print:
- This article will appear in the proceedings of "Workshop on Matrix Product State Formulation and Density Matrix Renormalization Group Simulations (MPS&