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EPR and spatial entanglement in spinor Bose-Einsten condensates (Conference Presentation)
Author(s): Carsten Klempt; Karsten Lange; Jan Peise; Bernd Lücke; Ilka Kruse; Giuseppe Vitagliano; Iagoba Apelaniz; Matthias Kleinmann; Géza Tóth

Paper Abstract

Spin changing collisions in alkaline Bose-Einstein condensates can be employed to generate highly entangled atomic quantum states. Here, we will report on the generation of two classes of entangled states. Firstly, we demonstrate the generation of two-mode squeezed vacuum states and record their characteristic quadrature correlations by atomic homodyning. We prove that the correlations fulfill Reid’s criterion [1] for continuous-variable Einstein-Podolsky-Rosen entanglement. The homodyne measurements allow for a full tomographic reconstruction, yielding a two-mode squeezed state with a 78% fidelity. The created state can be directly applied to atom interferometry, as is exemplified by an atomic clock measurement beyond the Standard Quantum Limit. Secondly, we demonstrate entanglement between two spatially separated atomic modes. The entangled state is obtained by spatially splitting a Twin Fock state of indistinguishable atoms along a line of zero density. This structure of two separated atomic modes is obtained by utilizing an excited trap mode. The non-classical correlations between these atomic modes are verified by applying a novel entanglement criterion especially sensitive for our case. The method opens a path to exploit the recent success in the creation of many-particle entanglement in ultracold atoms for the field of quantum information, where individually addressable subsystems are required. Finally, we will show how the measurement protocol can be extended to perform a Bell test of quantum nonlocality. [1] M. Reid, Phys. Rev. A 40, 913-923 (1989)

Paper Details

Date Published: 8 March 2019
Proc. SPIE 10935, Complex Light and Optical Forces XIII, 109350V (8 March 2019); doi: 10.1117/12.2511639
Show Author Affiliations
Carsten Klempt, Leibniz Univ. Hannover (Germany)
Karsten Lange, Leibniz Univ. Hannover (Germany)
Jan Peise, Leibniz Univ. Hannover (Germany)
Bernd Lücke, Leibniz Univ. Hannover (Germany)
Ilka Kruse, Leibniz Univ. Hannover (Germany)
Giuseppe Vitagliano, Institut für Quantenoptik und Quanteninformation (Austria)
Iagoba Apelaniz, Univ. del País Vasco (Spain)
Matthias Kleinmann, Univ. Siegen (Germany)
Géza Tóth, Univ. del País Vasco (Spain)

Published in SPIE Proceedings Vol. 10935:
Complex Light and Optical Forces XIII
Jesper Glückstad; David L. Andrews; Enrique J. Galvez, Editor(s)

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