# Counting statistics of dark-state transport through a carbon nanotube quantum dot

## TL;DR

This paper theoretically analyzes the counting statistics of electron transport through a carbon nanotube quantum dot, revealing giant super-Poissonian Fano factors and long-tailed waiting times caused by dark-state-induced bistability and electron bunching.

## Contribution

It provides a theoretical framework for understanding the counting statistics and waiting times in dark-state-limited transport in carbon nanotube quantum dots, highlighting novel statistical signatures.

## Key findings

- Giant super-Poissonian Fano factors observed
- Long-tailed waiting-time distributions identified
- Dark state causes bistability and electron bunching

## Abstract

In a recent experiment [A. Donarini et al., Nat Comms 10, 381 (2019)], electronic transport through a carbon nanotube quantum dot was observed to be suppressed by the formation of a quantum-coherent ``dark state''. In this paper we consider theoretically the counting statistics and waiting-time distribution of this dark-state-limited transport. We show that the statistics are characterised by giant super-Poissonian Fano factors and long-tailed waiting-time distributions, both of which are signatures of the bistability and extreme electron bunching caused by the dark state.