Full Counting Statistics of Stationary Particle Beams
Abstract
We present a general scheme for treating particle beams as many particle systems. This includes the full counting statistics and the requirements of Bose/Fermi symmetry. In the stationary limit, i.e., for longer and longer beams, the total particle number diverges, and a description in Fock space is no longer possible. We therefore extend the formalism to include stationary beams. These beams exhibit a well-defined "local" counting statistics, by which we mean the full counting statistics of all clicks falling into any given finite interval. We treat in detail a model of a source, creating particles in a fixed state, which then evolve under the free time evolution, and we determine the resulting stationary beam in the far field. In comparison to the one-particle picture we obtain a correction due to Bose/Fermi statistics, which depends on the emission rate. We also consider plane waves as stationary many particle states, and determine the distribution of intervals between successive clicks in such a beam.
Keywords
Cite
@article{arxiv.1009.1109,
title = {Full Counting Statistics of Stationary Particle Beams},
author = {J. Kiukas and A. Ruschhaupt and R. F. Werner},
journal= {arXiv preprint arXiv:1009.1109},
year = {2011}
}
Comments
12 pages, 2 figures. This is an extended version of the previous submission