Hannover 2013 – scientific programme
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A: Fachverband Atomphysik
A 24: Ultra-cold atoms, ions and BEC IV (with Q)
A 24.3: Talk
Wednesday, March 20, 2013, 11:30–11:45, F 428
Mode Entanglement in Systems of Massive, Indistinguishable Bosons — •Felix Binder1, Libby Heaney2, Dieter Jaksch1,2, and Vlatko Vedral1,2,3 — 1Clarendon Laboratory, Department of Physics, University of Oxford, Parks Road, Oxford OX1 3PU, UK — 2Center for Quantum Technologies, National University of Singapore, 3 Science Drive2, 117543, Singapore — 3Department of Physics, National University of Singapore, 2 Science Drive 3, 117542, Singapore
The standard notion of entanglement breaks down in systems of indistinguishable particles due to a loss of the tensor product structure of Hilbert space. Nevertheless, second quantisation allows us to describe entanglement between spatial modes which arises naturally in Bose-Einstein condensates or optical lattices.
Under particle-number superselection rules the only basis for the description of these systems is the mode-occupation basis, where it is possible to study and quantise correlations, for example via their relation to the visibility of interference fringes and the single-particle reduced density matrix.
In order to genuinely detect or harness entanglement, however, it is ultimately necessary to locally overcome the particle-number superselection rules by providing a suitable reference frame. It will be shown how this is possible using a BEC reservoir as the reference frame and a proposed implementation scheme for an optical lattice system will be described. This scheme could be used to experimentally test entanglement between modes of massive, indistinguishable bosons for the first time.