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arXiv:quant-ph/0008072 · Physical Review A

Preparation and light-mediated distribution of motional state entanglement

A. S. Parkins, E. Larsabal

Published Dec 11, 2000• 29 citations
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Abstract

We describe and analyze numerically schemes (i) for entangling orthogonal motional modes of one or a few harmonically trapped atoms or ions and (ii) for transferring the entanglement from one of these local modes to a distant trapped atom (or atoms) via a light-mediated quantum-state transfer procedure proposed in previous work [A.S. Parkins and H.J. Kimble, J. Opt. B: Quantum Semiclass. Opt. $1,$ 496 (1999)]. Possibilities arising from these schemes include the generation of an Einstein-Podolsky-Rosen state in the positions and momenta of distantly separated trapped atoms and the preparation of delocalized mesoscopic vibrational states.

DOI
10.1103/physreva.63.012304

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We describe and analyze numerically schemes (i) for entangling orthogonal motional modes of one or a few harmonically trapped atoms or ions and (ii) for transferring the entanglement from one of these local modes to a distant trapped atom (or atoms) via a light-mediated quantum-state transfer procedure proposed in previous work [A.S. Parkins and H.J. Kimble, J. Opt. B: Quantum Semiclass. Opt. 1,1,1, 496 (1999)]. Possibilities arising from these schemes include the generation of an Einstein-Podolsky-Rosen state in the positions and momenta of distantly separated trapped atoms and the preparation of delocalized mesoscopic vibrational states.
We propose a scheme for entangling the motional mode of a trapped atom with a propagating light field via a cavity-mediated parametric interaction. We then show that if this light field is subsequently coupled to a second distant atom via a cavity-mediated linear-mixing interaction, it is possible to transfer the entanglement from the light beam to the motional mode of the second atom to create an Einstein-Podolsky-Rosen--type entangled state of the positions and momenta of two distantly separated atoms.