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Q: Fachverband Quantenoptik und Photonik
Q 58: Quanteninformation: Atome und Ionen III
Q 58.2: Vortrag
Freitag, 6. März 2009, 10:45–11:00, VMP 6 HS-A
Detection and engineering of spatial entanglement with ultra-cold bosons — John Goold1, Libby Heany2, •Thomas Busch1, and Vlatko Vedral2,3 — 1Physics Department, University College Cork, Cork, Ireland — 2Centre for Quantum Technologies, National University of Singapore, Singapore — 3School of Physics and Astronomy, University of Leeds, Leeds, LS2 9JT, UK
Natural entanglement between spatial modes is known to exist in samples of cold atomic gases as a consequence of spatial coherence. To detect this kind of entanglement an interferometric scheme can be used, which at the same time also quantification of any bi-modal or multi-modal setup.
We will outline the interferometric scheme and show that it can straightforwardly be applied to interacting Bose gases of fixed particle number and even finite temperatures. Furthermore we will show that spatial entanglement can be described using the off-diagonal elements of a systems reduced single-particle density matrix.
When applying the scheme to the problem of an interacting, harmonically trapped boson pair in one dimension, we show that while entanglement rapidly decrease with temperature, one can always find modes for which a finite amount can be found. At zero temperature a significant amount of entanglement can be found for all interaction strengths and we will demonstrate how by changing the interaction parameter the distribution of entanglement between different spatial modes can be modified.