Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
Other Condensed Matter
2007-06-13 v4
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0612670,
title = {Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials},
author = {Laurent Sanchez-Palencia and David Clément and Pierre Lugan and Philippe Bouyer and Georgy V. Shlyapnikov and Alain Aspect},
journal= {arXiv preprint arXiv:cond-mat/0612670},
year = {2007}
}
Comments
published versioon (no significant change compared to last version)