How to extract weak values from a mesoscopic electronic system

TL;DR

This paper discusses methods to calibrate, optimize, and extract large weak values in mesoscopic electronic systems using a setup with two Mach-Zehnder interferometers, building on existing experimental implementations.

Contribution

It provides a detailed approach for extracting and maximizing weak values in mesoscopic electronic systems with a specific interferometer setup.

Findings

Calibration methods for weak value extraction

Optimization of measurement sensitivity

Demonstration of large weak values in mesoscopic systems

Abstract

Weak value (WV) protocols may lead to extreme expectation values that are larger than the corresponding orthodox expectation values. Recent works have proposed to implement this concept in nano-scale electronic systems. Here we address the issue of how one calibrates the setup in question, maximizes the measurement's sensitivity, and extracts distinctly large WVs. Our concrete setup consists of two Mach-Zehnder interferometers (MZIs): the "system" and the "detector". Such setups have already been implemented in experiment.