Einstein-Podolsky-Rosen entanglement and steering in two-well BEC ground states

TL;DR

This paper explores generating and detecting EPR entanglement and steering in two-well Bose-Einstein condensates, proposing experimental criteria and strategies for observing multiparticle entanglement with spatially separated detectors.

Contribution

It introduces new criteria and experimental strategies for detecting EPR entanglement and steering in two-well BEC ground states, including higher order signatures for multiparticle entanglement.

Findings

Proposes criteria for detecting EPR entanglement in BECs.

Suggests experimental strategies using spatial and internal modes.

Identifies signatures of multiparticle entanglement.

Abstract

We consider how to generate and detect Einstein-Podolsky-Rosen (EPR) entanglement and the steering paradox between groups of atoms in two separated potential wells in a Bose-Einstein condensate (BEC). We present experimental criteria for this form of entanglement, and propose experimental strategies for detecting entanglement using two or four mode ground states. These approaches use spatial and/or internal modes. We also present higher order criteria that act as signatures to detect the multiparticle entanglement present in this system. We point out the difference between spatial entanglement using separated detectors, and other types of entanglement that do n}ot require spatial separation. The four-mode approach with two spatial and two internal modes results in an entanglement signature with spatially separated detectors, conceptually similar to the original EPR paradox.