Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials

L. Sanchez-Palencia, D. Clément, P. Lugan, P. Bouyer, G. V. Shlyapnikov, A. Aspect
2007 Physical Review Letters  
We show that the expansion of an initially confined interacting 1D Bose-Einstein condensate can exhibit Anderson localization in a weak random potential with correlation length \sigma_R. For speckle potentials the Fourier transform of the correlation function vanishes for momenta k > 2/\sigma_R so that the Lyapunov exponent vanishes in the Born approximation for k > 1/\sigma_R. Then, for the initial healing length of the condensate \xi > \sigma_R the localization is exponential, and for \xi < \sigma_R it changes to algebraic.
doi:10.1103/physrevlett.98.210401 pmid:17677751 fatcat:mmky7bbm6ngbtdzxopld4q5rj4