Some general features of matrix product states in stochastic systems

Details Some general features of matrix product states in stochastic systems Some general features of matrix product states in stochastic systems

1998-12-27

arxiv.org/abs/cond-mat/9812403v4

Physics

Condensed Matter

Statistical Mechanics

23 pages, latex, revised, to appear in Jour. Phys. A; Math. Gen

Scientific paper

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.

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