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

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

2008-10-02

arxiv.org/abs/0810.0539v2

Phys. Rev. E 78, 041108 (2008)

Physics

Condensed Matter

Statistical Mechanics

5 pages

Scientific paper

10.1103/PhysRevE.78.041108

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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