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arXiv · 0707.2918

Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates

Pierre Lugan·David Clément·Philippe Bouyer·Alain Aspect·Laurent Sanchez-Palencia
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Abstract

We study the Anderson localization of Bogolyubov quasiparticles in an interacting Bose-Einstein condensate (with healing length ξ) subjected to a random potential (with finite correlation length σ_R). We derive analytically the Lyapunov exponent as a function of the quasiparticle momentum k and we study the localization maximum k_{max}. For 1D speckle potentials, we find that k_{max} is proportional to 1/ξwhen ξis much larger than σ_R while k_{max} is proportional to 1/σ_R when ξis much smaller than σ_R, and that the localization is strongest when ξis of the order of σ_R. Numerical calculations support our analysis and our estimates indicate that the localization of the Bogolyubov quasiparticles is accessible in current experiments with ultracold atoms.

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Pierre Lugan, David Clément, Philippe Bouyer, Alain Aspect, Laurent Sanchez-Palencia. 2007-11-07. Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates. https://doi.org/10.1103/physrevlett.99.180402

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