Many-body coherence and entanglement probed by randomized correlation measurements

TL;DR

This paper introduces a method to analyze many-body quantum states by using correlation functions to probe coherence and entanglement, revealing how low-order correlators can fully characterize many-body coherences under certain conditions.

Contribution

It provides a framework for using randomized correlation measurements to detect and characterize many-body coherence and entanglement in quantum systems.

Findings

Low-order correlators can fully characterize many-body coherences under specific conditions.

Comparison of correlators of different orders can detect many-body entanglement.

The approach links mutual distinguishability of constituents to coherence properties.

Abstract

We show how coherences between identical constituents of a many-body quantum state can be interrogated by suitable correlation functions, and identify sufficient conditions under which low-order correlators fully characterize many-body coherences, as controlled by the constituents' mutual distinguishability. Comparison of correlators of different order detects many-body entanglement.