Europhys. Lett.
Volume 66, Number 6, June 2004
Page(s) 792 - 797
Section Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
Published online 01 June 2004
Europhys. Lett., 66 (6) , pp. 792-797 (2004)
DOI: 10.1209/epl/i2003-10262-4

Translational dynamics effects on the non-local correlations between two atoms

M. Tumminello, A. Vaglica and G. Vetri

Istituto Nazionale di Fisica della Materia and Dipartimento di Scienze Fisiche ed Astronomiche, Università di Palermo - via Archirafi 36, 90123 Palermo, Italy

(Received 12 November 2003; accepted in final form 15 April 2004)

A pair of atoms interacting successively with the field of the same cavity and exchanging a single photon leave the cavity in an entangled state of Einstein-Podolsky-Rosen (EPR) type (see, for example, Phoenix S. J. D. and Barnett S. M., J. Mod. Opt. 40 (1993) 979). By implementing the model with the translational degrees of freedom, we show in this letter that the entanglement with the translational atomic variables can lead, under appropriate conditions, towards the separability of the internal variables of the two atoms. This implies that the translational dynamics can lead, in some cases, to difficulties in observing Bell's inequality violation for massive particles.

42.50.-p - Quantum optics.
32.80.Lg - Mechanical effects of light on atoms, molecules, and ions.
03.65.Ud - Entanglement and quantum nonlocality.

© EDP Sciences 2004