Stochastic exclusion processes versus coherent transport

Autor(en)

Kristan Paul Temme, Michael M. Wolf, Frank Verstraete

Abstrakt

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.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Technische Universität München

Journal

New Journal of Physics

Band

14

Anzahl der Seiten

19

ISSN

1367-2630

DOI

https://doi.org/10.1088/1367-2630/14/7/075004

Publikationsdatum

07-2012

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/0cca4cb2-19b6-4001-8639-3f5cbd72517a