Quantum transport and counting statistics in closed systems
Abstract
A current can be induced in a closed device by changing control parameters. The amount of particles that are transported via a path of motion, is characterized by its expectation value , and by its variance . We show that quantum mechanics invalidates some common conceptions about this statistics. We first consider the process of a double path crossing, which is the prototype example for counting statistics in multiple path non-trivial geometry. We find out that contrary to the common expectation, this process does not lead to partition noise. Then we analyze a full stirring cycle that consists of a sequence of two Landau-Zener crossings. We find out that quite generally counting statistics and occupation statistics become unrelated, and that quantum interference affects them in different ways.
Cite
@article{arxiv.0912.1690,
title = {Quantum transport and counting statistics in closed systems},
author = {Maya Chuchem and Doron Cohen},
journal= {arXiv preprint arXiv:0912.1690},
year = {2010}
}
Comments
9 pages, 2 figures. Proceedings of FQMT conference (Prague, 2008)