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arXiv · 0810.0539

Connection between matrix-product states and superposition of Bernoulli shock measures

Farhad H. Jafarpour·Ali Aghamohammadi
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Abstract

We consider a generalized coagulation-decoagulation system on a one-dimensional discrete lattice with reflecting boundaries. It is known that a Bernoulli shock measure with two shock fronts might have a simple random-walk dynamics, provided that some constraints on the microscopic reaction rates of this system are fulfilled. Under these constraints the steady-state of the system can be written as a linear superposition of such shock measures. We show that the coefficients of this expansion can be calculated using the finite-dimensional representation of the quadratic algebra of the system obtained from a matrix-product approach.

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Farhad H. Jafarpour, Ali Aghamohammadi. 2008-10-09. Connection between matrix-product states and superposition of Bernoulli shock measures. https://doi.org/10.1103/physreve.78.041108

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