Waiting Times and Noise in Single Particle Transport

TL;DR

This paper explores the waiting time distribution in single particle transport, revealing it provides additional insights into system parameters like quantum coherence and internal states beyond traditional statistical measures.

Contribution

It establishes relations between waiting time distributions and other transport statistics using generalized Master equations, highlighting their informational value.

Findings

Waiting time distribution encodes quantum coherence information.

Relations between $w( au)$ and noise spectrum are derived.

Waiting times reveal system properties like entropy and internal states.

Abstract

The waiting time distribution $w(\tau)$, i.e. the probability for a delay $\tau$ between two subsequent transition (`jumps') of particles, is a statistical tool in (quantum) transport. Using generalized Master equations for systems coupled to external particle reservoirs, one can establish relations between $w(\tau)$ and other statistical transport quantities such as the noise spectrum and the Full Counting Statistics. It turns out that $w(\tau)$ usually contains additional information on system parameters and properties such as quantum coherence, the number of internal states, or the entropy of the current channels that participate in transport.