Atomic entanglement generation and detection via degenerate four-wave-mixing of a Bose-Einstein condensate in an optical lattice

TL;DR

This paper proposes a realistic method to generate and detect continuous variable entanglement between two matter-wave pulses from a Bose-Einstein condensate in an optical lattice, supported by numerical simulations and measurement schemes.

Contribution

It introduces a novel scheme for atomic entanglement generation and detection via degenerate four-wave-mixing in a BEC within an optical lattice, with detailed numerical analysis.

Findings

Maximum violation of EPR inequalities demonstrated in simulations

Numerical results show strong matter-wave entanglement

Proposed measurement scheme for quadrature detection

Abstract

The unequivocal detection of entanglement between two distinct matter-wave pulses is a significant challenge that has yet to be experimentally demonstrated. We describe a realistic scheme to generate and detect continuous variable entanglement between two atomic matter-wave pulses produced via degenerate four-wave-mixing from an initially trapped Bose-Einstein condensate loaded into a one-dimensional optical lattice. We perform a comprehensive numerical investigation for fixed condensate parameters to determine the maximum violation of separability and Einstein-Podolsky-Rosen inequalities for field quadrature entanglement, and describe and simulate an experimental scheme for measuring the necessary quadratures.