Anderson localization of expanding Bose-Einstein condensates in random potentials

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...

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Bibliographic Details
Published in:Physical review letters 2007-05, Vol.98 (21), p.210401-210401, Article 210401
Main Authors: Sanchez-Palencia, L, Clément, D, Lugan, P, Bouyer, P, Shlyapnikov, G V, Aspect, A
Format: Article
Language:English
Subjects:
BORN APPROXIMATION
BOSE-EINSTEIN CONDENSATION
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Condensed Matter
CORRELATION FUNCTIONS
FOURIER TRANSFORMATION
LYAPUNOV METHOD
Other
Physics
POTENTIALS
RANDOMNESS
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Summary: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(in)>sigma(R) the localization is exponential, and for xi(in)
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.98.210401