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

Abstract

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, [S.J.D. Phoenix, and S.M. Barnett, J. Mod. Opt. \textbf{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 the Bell's inequality violation for massive particles.

5 pages, 1 figure

References in corpus (6)

• Separability Criterion for Density Matrices
• Separability of Mixed States: Necessary and Sufficient Conditions
• Optimal Teleportation Based on Bell Measurement
• Separability criterion for separate quantum systems
• Quantum erasure within the Optical Stern-Gerlach Model
• The non dissipative damping of the Rabi oscillations as a "which-path" information

Cited by in corpus (5)

• Irreversible decay of nonlocal entanglement via a reservoir of a single degree of freedom
• Teleportation of atomic states via position measurements
• On the observability of Bell's inequality violation in the optical Stern-Gerlach model
• Spatial decoherence factor via the qubit-field interaction
• Atomic teleportation via cavity QED and position measurements: efficiency analysis