EPR and spatial entanglement in spinor Bose-Einsten condensates (Conference Presentation)

Carsten Klempt; Karsten Lange; Jan Peise; Bernd Lücke; Ilka Kruse; Giuseppe Vitagliano; Iagoba Apelaniz; Matthias Kleinmann; Géza Tóth

doi:10.1117/12.2511639

8 March 2019 EPR and spatial entanglement in spinor Bose-Einsten condensates (Conference Presentation)

Carsten Klempt, Karsten Lange, Jan Peise, Bernd Lücke, Ilka Kruse, Giuseppe Vitagliano, Iagoba Apelaniz, Matthias Kleinmann, Géza Tóth

Author Affiliations +

Proceedings Volume 10935, Complex Light and Optical Forces XIII; 109350V (2019) https://doi.org/10.1117/12.2511639
Event: SPIE OPTO, 2019, San Francisco, California, United States

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)

Conference Presentation

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Carsten Klempt, Karsten Lange, Jan Peise, Bernd Lücke, Ilka Kruse, Giuseppe Vitagliano, Iagoba Apelaniz, Matthias Kleinmann, and Géza Tóth "EPR and spatial entanglement in spinor Bose-Einsten condensates (Conference Presentation)", Proc. SPIE 10935, Complex Light and Optical Forces XIII, 109350V (8 March 2019); https://doi.org/10.1117/12.2511639

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KEYWORDS

Chemical species

Entangled states

Homodyne detection

Atomic clocks

Interferometry

Quantum information

Tomography

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