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Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials

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.
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https://hal.archives-ouvertes.fr/hal-00122278
Contributor : Laurent Sanchez-Palencia Connect in order to contact the contributor
Submitted on : Wednesday, May 23, 2007 - 6:42:10 PM
Last modification on : Sunday, June 26, 2022 - 11:47:07 AM
Long-term archiving on: : Friday, September 24, 2010 - 10:56:33 AM

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Laurent Sanchez-Palencia, David Clément, Pierre Lugan, Philippe Bouyer, Georgy V. Shlyapnikov, et al.. Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials. Physical Review Letters, American Physical Society, 2007, 98, pp.210401. ⟨10.1103/PhysRevLett.98.210401⟩. ⟨hal-00122278v4⟩

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