Many-Body Entanglement: a New Application of the Full Counting Statistics

TL;DR

This paper reviews how entanglement entropy in many-body systems can be directly measured through current fluctuations, linking quantum correlations with electron transport statistics in noninteracting fermions.

Contribution

It establishes a general relation between entanglement entropy and Full Counting Statistics, enabling direct experimental measurement of quantum correlations.

Findings

Entanglement entropy can be inferred from current fluctuation measurements.

A universal relation between entanglement and transport statistics is demonstrated.

Potential for experimental measurement of quantum entanglement in electronic systems.

Abstract

Entanglement entropy is a measure of quantum correlations between separate parts of a many-body system, which plays an important role in many areas of physics. Here we review recent work in which a relation between this quantity and the Full Counting Statistics description of electron transport was established for noninteracting fermion systems. Using this relation, which is of a completely general character, we discuss how the entanglement entropy can be directly measured by detecting current fluctuations in a driven quantum system such as a quantum point contact.