Counting statistics in multiple path geometries and the fluctuations of the integrated current in a quantum stirring device
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.
Journal of Physics A Mathematical General
- Pub Date:
- February 2008
- Quantum Physics;
- Condensed Matter - Mesoscopic Systems and Quantum Hall Effect
- 11 pages, 2 figures, published version, Latex Eq# corrected