Shot Noise in Chaotic Systems: “Classical” to Quantum Crossover

Abstract

This paper is devoted to study of the classical-to-quantum crossover of the shot noise in chaotic systems. This crossover is determined by the ratio of the particle dwell time in the system, ${\tau }_d$, to the characteristic time for diffraction $t_E\simeq {\lambda }^{-1\mathrm{}}|\ln ħ|$, where $\lambda$ is the Lyapunov exponent. The shot noise vanishes when $t_E\gg {\tau }_d$, while it reaches a universal value in the opposite limit. Thus, the Lyapunov exponent of chaotic mesoscopic systems may be found by shot noise measurements.