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Q: Fachverband Quantenoptik und Photonik

Q 13: Posters: Quantum Optics and Photonics I

Q 13.13: Poster

Montag, 9. März 2020, 16:30–18:30, Empore Lichthof

Quantifying Entanglement in Bose-Einstein-Condensates using Entropic Uncertainty Relations — •Bjarne Bergh and Martin Gärttner — Kirchhoff-Institut für Physik, Universität Heidelberg, Germany

Entanglement is a key property of quantum mechanical systems and an elementary building block in many quantum mechanical applications. Bose-Einstein-Condensates form interesting systems to study nonlocal entanglement as they allow for precise control of quantum mechanical correlations between many thousand particles and on macroscopic length scales.

Entanglement between two spatially separated subsystems of a Bose-Einstein-Condensate has recently been demonstrated via EPR-Steering. However, this does not allow for a quantitative estimate of the entanglement present in the system. The main difficulty here arises from being very limited in the set of experimentally available observables.

We demonstrate how entropic uncertainty relations, applied to the correlations between two subsystems when measured in multiple sets of bases, can be used to gain bounds on the entanglement entropy. Besides being another entanglement witness, this also provides a bound on the quality of the entangled state.