Some general features of matrix product states in stochastic systems
arXiv:cond-mat/9812403
Abstract
We will prove certain general relations in Matrix Product Ansatz for one dimensional stochastic systems, which are true in both random and sequential updates. We will derive general MPA expressions for the currents and current correlators and find the conditions in the MPA formalism, under which the correlators are site-independent or completely vanishing.
23 pages, latex, revised, to appear in Jour. Phys. A; Math. Gen