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 value in chaotic systems. This crossover is determined by the ratio of the particle dwell time in the system, $τ_d$, to the characteristic time for diffraction $t_E \simeq λ^{-1} |\ln \hbar|$, where $λ$ is the Lyapunov exponent. The shot noise vanishes in the limit $t_E \gg τ_d $, while reaches its universal quantum value in the opposite limit. Thus, the Lyapunov exponent of chaotic mesoscopic systems may be found by the shot noise measurements.