Charge sensing amplification via weak values measurement

TL;DR

This paper proposes a weak values measurement protocol in a solid state setup to amplify weak signals, specifically using an Aharonov-Bohm interferometer to detect external charges with high sensitivity despite noise.

Contribution

It introduces a novel weak values based amplification method in a solid state system for charge sensing, considering both spin and orbital degrees of freedom.

Findings

Significant amplification achieved even with noise and finite temperature.

The interplay of spin and orbital weak values enhances sensitivity.

Potential for ultra-sensitive charge detection in solid state devices.

Abstract

A protocol employing weak values (WVs) to obtain ultra sensitive amplification of weak signals in the context of a solid state setup is proposed. We consider an Aharonov-Bohm interferometer where both the orbital and the spin degrees of freedom are weakly affected by the presence of an external charge to be detected. The interplay between the spin and the orbital WVs leads to a significant amplification even in the presence of finite temperature, voltage, and external noise.