Quasiprobabilistic Interpretation of Weak measurements in Mesoscopic Junctions

TL;DR

This paper explores weak measurements of noncommuting observables in mesoscopic systems using a quasiprobabilistic framework, deriving an inequality that distinguishes quantum behavior from classical expectations through current correlator analysis.

Contribution

It introduces a quasiprobabilistic approach to weak measurements in mesoscopic transport and derives a testable inequality to identify quantum effects.

Findings

Derived an inequality for current correlators that distinguishes quantum from classical regimes.

Predicted violation of the inequality by quantum high-frequency cumulants under feasible experimental conditions.

Provided a framework for experimental testing of quantum measurement concepts in mesoscopic systems.

Abstract

The impossibility of measuring noncommuting quantum mechanical observables is one of the most fascinating consequences of the quantum mechanical postulates. Hence, to date the investigation of quantum measurement and projection is a fundamentally interesting topic. We propose to test the concept of weak measurement of noncommuting observables in mesoscopic transport experiments, using a quasiprobablistic description. We derive an inequality for current correlators, which is satisfied by every classical probability but violated by high-frequency fourth-order cumulants in the quantum regime for experimentally feasible parameters.