Issue
EPL
Volume 83, Number 4, August 2008
Article Number 40002
Number of page(s) 5
Section General
DOI http://dx.doi.org/10.1209/0295-5075/83/40002
Published online 05 August 2008
EPL, 83 (2008) 40002
DOI: 10.1209/0295-5075/83/40002

Localization by entanglement

J. Brand1, S. Flach2, V. Fleurov2, 3, L. S. Schulman2, 4 and D. Tolkunov4

1  Centre of Theoretical Chemistry and Physics, Institute of Fundamental Sciences, Massey University Auckland New Zealand
2  Max-Planck-Institut für Physik komplexer Systeme - Nöthnitzer Str. 38, D-01187 Dresden, Germany, EU
3  School of Physics and Astronomy, Tel Aviv University - Tel Aviv, Israel
4  Department of Physics, Clarkson University - Potsdam NY, USA

j.brand@massey.ac.nz

received 22 December 2007; accepted in final form 25 June 2008; published August 2008
published online 5 August 2008

Abstract
We study the localization of bosonic atoms in an optical lattice, which interact in a spatially confined region. The classical theory predicts that there is no localization below a threshold value for the strength of interaction that is inversely proportional to the number of participating atoms. In a full quantum treatment, however, we find that localized states exist for arbitrarily weak attractive or repulsive interactions for any number (> 1) of atoms. We further show, using an explicit solution of the two-particle bound state and an appropriate measure of entanglement, that the entanglement tends to a finite value in the limit of weak interactions. Coupled with the non-existence of localization in an optimized quantum product state, we conclude that the localization exists by virtue of entanglement.

PACS
03.75.Gg - Entanglement and decoherence in Bose-Einstein condensates.
05.45.-a - Nonlinear dynamics and chaos.
11.15.Kc - General theory of fields and particles: Classical and semiclassical techniques.

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