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arXiv:cond-mat/0609282 · Physical Review Letters

Signatures of Strong Momentum Localization via Entanglement of Translational and Internal States

Nir Bar‐Gill, Gershon Kurizki

Published Dec 6, 2006• 7 citations
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Abstract

We show that atoms or molecules subject to fields that couple their internal and translational (momentum) states may undergo a crossover from randomization (diffusion) to strong localization (sharpening) of their momentum distribution. The predicted crossover should be manifest by a drastic change of the interference pattern as a function of the coupling fields.

DOI
10.1103/physrevlett.97.230402

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We show that atoms or molecules subject to fields that couple their internal and translational (momentum) states may undergo a crossover from randomization (diffusion) to strong localization (sharpening) of their momentum distribution. The predicted crossover should be manifest by a drastic change of the interference pattern as a function of the coupling fields.
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Signatures of Anderson localization in the momentum distribution of a cold atom cloud after a quantum quench are studied. We consider a quasi-one-dimensional cloud initially prepared in a well-defined momentum state, and expanding for some time in a disorder speckle potential. Quantum interference generates a peak in the forward scattering amplitude which, unlike the common weak localization backscattering peak, is a signature of strong Anderson localization. We present a nonperturbative, and fully time resolved description of the phenomenon, covering the entire diffusion-to-localization crossover. Our results should be observable by present day experiments.
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.
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