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Stochastic exclusion processes versus coherent transport

Kristan Temme, Michael M. Wolf, Frank Verstraete

New J. Phys. 14 075004 , (2012)

DOI: 10.1088/1367-2630/14/7/075004 Pfeil
*arXiv.org*: 0912.0858 Pfeil

Abstract: Stochastic exclusion processes play an integral role in the physics of non-equilibrium statistical mechanics. These models are Markovian processes, described by a classical master equation. In this paper, a quantum mechanical version of a stochastic hopping process in one dimension is formulated in terms of a quantum master equation. This allows the investigation of coherent and stochastic evolution in the same formal framework. The focus lies on the non-equilibrium steady state. Two stochastic model systems are considered: the totally asymmetric exclusion process and the fully symmetric exclusion process. The steady-state transport properties of these models are compared to the case with additional coherent evolution, generated by the XX Hamiltonian.