Maximal entanglement of two spinor Bose-Einstein condensates

TL;DR

This paper demonstrates how to generate a maximally entangled state between two spinor Bose-Einstein condensates by reversing the sign of their spin interaction using an optically-induced Feshbach resonance, extending Bell states to atomic samples.

Contribution

It introduces a method to create maximally entangled states of two large atomic ensembles by tuning spin interactions, generalizing Bell states to many-atom systems.

Findings

Achieved maximal entanglement between two condensates.

Extended Bell state concept to large atomic samples.

Controlled entanglement via optically-induced Feshbach resonance.

Abstract

Starting with two weakly-coupled anti-ferromagnetic spinor condensates, we show that by changing the sign of the coefficient of the spin interaction, $U_{2}$, via an optically-induced Feshbach resonance one can create an entangled state consisting of two anti-correlated ferromagnetic condensates. This state is maximally entangled and a generalization of the Bell state from two anti-correlated spin-1/2 particles to two anti-correlated spin$-N/2$ atomic samples, where $N$ is the total number of atoms.