EPR entanglement strategies in two-well BEC
Q. Y. He, M. D. Reid, C. Gross, M. Oberthaler, and P. D. Drummond

TL;DR
This paper evaluates criteria for measuring entanglement in two-well Bose-Einstein condensates and introduces methods to generate EPR-like entanglement using adiabatic or dynamic interactions leveraging s-wave scattering.
Contribution
It proposes new strategies for generating and detecting EPR entanglement in two-well BEC systems, combining adiabatic and dynamic interaction techniques.
Findings
Dynamic method produces EPR-like entanglement signature.
Techniques utilize s-wave scattering for nonlinear coupling.
Criteria for entanglement measurement are evaluated.
Abstract
Criteria suitable for measuring entanglement between two different potential wells in a Bose- Einstein condensation (BEC) are evaluated. We show how to generate the required entanglement, utilizing either an adiabatic two-mode or dynamic four-mode interaction strategy, with techniques that take advantage of s-wave scattering interactions to provide the nonlinear coupling. The dynamic entanglement method results in an entanglement signature with spatially separated detectors, as in the Einstein-Podolsky-Rosen (EPR) paradox.
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