Quantum Noise in Mesoscopic Systems

Abstract

Full counting statistics aims at a complete characterization of the distribution of measurement outcomes. In this article I will demonstrate how this concept allows to investigate quantum correlations in a variety of mesoscopic systems. Three examples will be discussed: a) In analogy to Schottky’s work on the current fluctuations in a vacuum diode, shot noise in superconducting contacts allows to identify the nature of the elementary charge transfer events. b) The Coulomb interaction in complex quantum dots or molecules leads to a strongly correlated current statistics. c) The density fluctuation statistics in a fermionic quantum gas reflects the crossover from a superfluid state to a molecular Bose-Einstein condensate.