Characterizing twin-particle entanglement in double-well potentials

TL;DR

This paper proposes a method to quantify and analyze twin-atom entanglement in double-well potentials by measuring momentum correlations, enabling Bell inequality tests and full state tomography when tunneling parameters are tunable.

Contribution

It introduces a novel experimental approach for quantifying particle entanglement in twin atoms within double-well potentials, including Bell inequality violation detection and state tomography.

Findings

Method for measuring momentum correlations to quantify entanglement

Demonstration of Bell inequality violation in twin-atom systems

Feasibility of full state tomography with tunable tunneling parameters

Abstract

We consider a pair of twin atoms trapped in double-well potentials. For each atom, two orthogonal spatial modes are accessible: the states $ |L\rangle$ and $|R\rangle$ spatially localized in the left and right wells respectively. Furthermore the twin atoms are distinguishable thanks to an additional degree of freedom. We propose a method for experimentally quantifying the particle entanglement between these atoms which allows us to probe a violation of Bell's inequality. It is based on measuring the correlations in the atoms' momentum distribution. If the tunneling and the energy difference between the wells are tunable, then full state tomography is achievable.