Pseudo steady-state non-Gaussian EPR-steering of massive particles in pumped and damped Bose-Hubbard dimers

TL;DR

This paper proposes a pumped Bose-Hubbard dimer as a source of non-Gaussian EPR-steering with potential applications in quantum atom optics, supported by theoretical calculations of non-Gaussianity and EPR paradox signals.

Contribution

It introduces a new experimental setup for generating non-Gaussian EPR-steering in massive particles using a pumped Bose-Hubbard dimer, extending quantum atom optics capabilities.

Findings

Clear signals of non-Gaussianity in the system

Presence of states demonstrating the EPR paradox

Feasible experimental configuration based on current techniques

Abstract

We propose and analyse a pumped Bose-Hubbard dimer as a source of continuous-variable Einstein-Podolsky-Rosen (EPR) steering with non-Gaussian statistics. We use the truncated Wigner representation to calculate third and fourth order cumulants, finding clear signals of non-Gaussianity. We also calculate the products of inferred quadrature variances which indicate that states demonstrating the EPR paradox are present. Our proposed experimental configuration is extrapolated from current experimental techniques and adds another possibility to the current toolbox of quantum atom optics.