Dynamics of entanglement between two trapped atoms.pdf

Dynamics of entanglement between two trapped atoms Holger Mack and Matthias Freyberger Abteilung f¨ur Quantenphysik, Universit¨at Ulm, D-89069 Ulm, Germany We investigate the dynamics of entanglement between two continuous variable quantum systems. The model system consists of two atoms in a harmonic trap which are interacting by a simplified s- wave scattering. We show, that the dynamically created entanglement changes in a steplike manner. Moreover, we introduce local operators which allow us to violate a Bell-CHSH inequality adapted to the continuous variable case. The correlations show nonclassical behavior and almost reach the maximal quantum mechanical value. This is interesting since the states prepared by this interaction are very different from any EPR-like state. PACS numbers: 03.65.-w, 03.65.Ud 2 0 0 I. INTRODUCTION continuous case [16]. Hence also in this realm entan- 2 glement acts as an essential ingredient for nonclassical n Since the seminal paper [1] of Albert Einstein, Boris tasks. Consequently, criteria have been proposed [17] in u order to decide whether a continuous variable state is en- J Podolsky and Nathan Rosen (EPR) and the ingenius tangled and protocols have been discussed which purify criticism by John Bell [2, 3] we have begun to under- 5