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Q: Fachverband Quantenoptik und Photonik

Q 45: Materiewellenoptik

Q 45.4: Talk

Thursday, March 13, 2008, 14:45–15:00, 3G

Bell test for the motional state of free massive particles — •Clemens Gneiting and Klaus Hornberger — Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München

We propose a simple and robust way of generating and verifiying entanglement in the motional state of two free, macroscopically separated atoms. It is based on the concept of ‘dissociation-time entanglement’, allowing to formulate a special type of continuous variable entanglement in a two-dimensional state-space in analogy with the entangled spin-singlet state. We describe an interferometric setting, based only on linear elements of matter-wave optics, which reflects the general spin measurements required in the original spin-based Bell experiment. It thus allows to verify the entanglement by the violation of a Bell inequality using only single-particle interference without post-selection. The dissociation-time entangled state can be generated by the Feshbach-induced dissociation of a molecular BEC. In particular, the shape of the magnetic pulse can be used to taylor the generated wave packets as to minimize the effect of dispersion.