Probing non-Gaussian correlations through entanglement generation in a many-body quantum system

TL;DR

This paper links non-Gaussian correlations in quantum gases to entanglement in momentum space, proposing a measurable method to quantify these correlations through experiments, demonstrated via numerical simulations.

Contribution

It introduces a novel connection between non-Gaussian correlations and entanglement in many-body quantum systems, enabling experimental quantification.

Findings

Non-Gaussian correlations are connected to momentum-space entanglement.

Entanglement can be measured using time-of-flight techniques.

Numerical simulations show sequential generation of correlations after a quench.

Abstract

In understanding strongly correlated quantum systems, quantifying the non-Gaussian nature of interparticle correlations is invaluable. We show that, for a uniform quantum gas, there exists a natural connection between non-Gaussian correlations and the generation of momentum-space entanglement. Furthermore, this entanglement can be directly measured in an experiment using time-of-flight techniques. To prototype our method, we numerically study entanglement generation in a degenerate Bose gas following a quench to the unitary regime, where Gaussian and non-Gaussian correlations are generated sequentially in time.