Quantum-to-Classical Crossover in Full Counting Statistics

TL;DR

This paper investigates how quantum transport transitions to classical behavior in chaotic cavities, analyzing shot noise suppression and transport statistics using stochastic path integrals across different crossover scenarios.

Contribution

It introduces a stochastic path integral method to analyze the quantum-to-classical crossover in transport statistics of chaotic systems, identifying three distinct crossover scenarios.

Findings

Shot noise diminishes as systems transition from quantum to classical regimes.

Transport statistics vary depending on the crossover scenario.

The study provides a unified framework for understanding quantum-classical crossover in chaotic cavities.

Abstract

The reduction of quantum scattering leads to the suppression of shot noise. In the present paper, we analyze the crossover from the quantum transport regime with universal shot noise, to the classical regime where noise vanishes. By making use of the stochastic path integral approach, we find the statistics of transport and the transmission properties of a chaotic cavity as a function of a system parameter controlling the crossover. We identify three different scenarios of the crossover.