Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials

Details Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials

2006-12-28

arxiv.org/abs/cond-mat/0612670v4

Physical Review Letters 98 (2007) 210401

Physics

Condensed Matter

Other Condensed Matter

published versioon (no significant change compared to last version)

Scientific paper

10.1103/PhysRevLett.98.210401

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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