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Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials

Laurent Sanchez-Palencia·David Clément·Pierre Lugan·Philippe Bouyer·Georgy V. Shlyapnikov·Alain Aspect
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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 σ_R. For speckle potentials the Fourier transform of the correlation function vanishes for momenta k > 2/σ_R so that the Lyapunov exponent vanishes in the Born approximation for k > 1/σ_R. Then, for the initial healing length of the condensate ξ> σ_R the localization is exponential, and for ξ< σ_R it changes to algebraic.

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Laurent Sanchez-Palencia, David Clément, Pierre Lugan, Philippe Bouyer, Georgy V. Shlyapnikov, Alain Aspect. 2007-05-23. Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials. https://doi.org/10.1103/physrevlett.98.210401

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