Counting statistics in multiple path geometries and the fluctuations of the integrated current in a quantum stirring device
Abstract
The amount Q of particles that are transported via a path of motion is characterized by its expectation value langQrang and by its variance Var(Q). We analyze what happens if a particle has two optional paths available to get from one site to another site, and in particular what is Var(Q) for the current which is induced in a quantum stirring device. It turns out that coherent splitting and the stirring effect are intimately related and cannot be understood within the framework of the prevailing probabilistic theory.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 February 2008
 DOI:
 10.1088/17518113/41/7/075302
 arXiv:
 arXiv:0704.3506
 Bibcode:
 2008JPhA...41g5302C
 Keywords:

 Quantum Physics;
 Condensed Matter  Mesoscopic Systems and Quantum Hall Effect
 EPrint:
 11 pages, 2 figures, published version, Latex Eq# corrected