Tomography of many-body weak values: Mach-Zehnder interferometry

TL;DR

This paper introduces a protocol for complete tomography of weak values in a solid-state electronic Mach-Zehnder interferometer, analyzing many-body effects like temperature and shot noise on the measurements.

Contribution

It presents the first specific proposal to measure both real and imaginary parts of weak values in a solid-state setup, including many-body physics considerations.

Findings

First complete weak value tomography in a solid-state system

Analysis of temperature and shot-noise effects on weak value measurements

Demonstration of many-body physics influence on weak values

Abstract

We propose and study a weak value (WV) protocol in the context of a solid state setup, specifically, an electronic Mach-Zehnder interferometer. This is the first specific proposal to measure both the real and imaginary part (i.e., complete tomography) of a WV. We also analyze the manifestation of many-body physics in the WV to be measured, including finite temperature and shot-noise-like contributions.