Feedback Control of Quantum Transport

TL;DR

This paper explores how feedback control can stabilize quantum transport in nanostructures, enabling precise single-particle transfer by freezing fluctuations and reconstructing full counting statistics.

Contribution

It introduces a method to stabilize quantum transport using feedback loops and reconstructs full counting statistics from the frozen distribution.

Findings

Feedback stabilizes current in quantum dots.

Fluctuations in particle transfer can be frozen.

Full counting statistics can be reconstructed from the stabilized distribution.

Abstract

The current through nanostructures like quantum dots can be stabilized by a feedback loop that continuously adjusts system parameters as a function of the number of tunnelled particles $n$. At large times, the feedback loop freezes the fluctuations of $n$ which leads to highly accurate, continuous single particle transfers. For the simplest case of feedback acting simultaneously on all system parameters, we show how to reconstruct the original full counting statistics from the frozen distribution.