Crossover between ballistic and diffusive transport: the quantum exclusion process

Autor(en)

Viktor Eisler

Abstrakt

We study the evolution of a system of free fermions in one dimension under the simultaneous effects of coherent tunneling and stochastic Markovian noise. We identify a class of noise terms where a hierarchy of decoupled equations for the correlation functions emerges. In the special case of incoherent, nearest-neighbor hopping the equation for the two-point functions is solved explicitly. The Green's function for the particle density is obtained analytically and a time scale is identified where a crossover from ballistic to diffusive behavior takes place. The result can be interpreted as a competition between the two types of conduction channels where diffusion dominates on large timescales.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Journal

Journal of Statistical Mechanics: Theory and Experiment

Band

2011

Anzahl der Seiten

20

DOI

https://doi.org/10.1088/1742-5468/2011/06/P06007

Publikationsdatum

2011

Peer-reviewed

Ja

ÖFOS 2012

103026 Quantenoptik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/e8cf1c9d-1181-4795-9b8f-3130f7ffc9d2