Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
arXiv:cond-mat/0612670 · doi:10.1103/PhysRevLett.98.210401
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.
published versioon (no significant change compared to last version)
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