A remark on integrability of stochastic systems solvable by matrix product ansatz

Department of Physics, Sharif University of Technology P.O.Box 11365-9161, Tehran, Iran Institute for Studies in Theoretical Physics and Mathematics P.O.Box 19395-5746, Tehran, Iran

Received: 2 February 1999
Accepted: 24 June 1999

Abstract

Within the Matrix Product Formalism we have already introduced a multi-species exclusion process (Phys. Rev. E, 59 (1999) 25, cond-mat/9809193), in which different particles hop with different rates and fast particles stochastically overtake slow ones. In this letter we show that on an open chain, the master equation of this process can be exactly solved via the coordinate Bethe ansatz. It is shown that the N-body S-matrix of this process is factorized into a product of two-body S-matrices, which in turn satisfy the quantum Yang-Baxter equation (QYBE). This solution is, to our knowledge, a new solution of QYBE.