# Sensing electrons during an adiabatic coherent transport passage

## TL;DR

This paper investigates the measurement backaction during adiabatic coherent transport in quantum dots, proposing a correlated measurement signal to confirm successful electron transfer with minimal central dot occupation.

## Contribution

It introduces a method to detect and confirm the non-occupancy of the central dot during CTAP using correlated measurement signals, accounting for measurement backaction.

## Key findings

- Measurement backaction affects CTAP success probability.
- Correlated signals can confirm minimal central dot occupation.
- The approach aligns with continuous detection models.

## Abstract

We study the detection of electrons undergoing coherent transfer via adiabatic passage (CTAP) in a triple quantum-dot system with a quantum point-contact sensing the change of the middle dot. In the ideal scenario, the protocol amounts to perfect change transfer between the external dots with vanishing occupation of the central dot at all times, rendering the measurement and its backaction moot. Nevertheless, even with minor corrections to the protocol, a small population builds up in the central dot. We study the measurement backaction by a Bayesian formalism simulation of an instantaneous detection at the time of maximal occupancy of the dot. We show that the interplay between the measurement backaction and the non-adiabatic dynamics induce a change of the success probability of the protocol, which quantitatively agrees with a continuous detection treatment. We introduce a correlated measurement signal to certify the non-occupancy of the central dot for a successful CTAP protocol, which, in the weak measurement limit, confirms a vanishing occupation of the central dot. Our proposed correlated-signal purports that proper experimental method by which to confirm CTAP.