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Article Dans Une Revue Physical Review Letters Année : 2007

Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates

Résumé

We study the Anderson localization of Bogolyubov quasiparticles in an interacting Bose-Einstein condensate (with healing length \xi) subjected to a random potential (with finite correlation length \sigma_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/\xi when \xi is much larger than \sigma_R while k_{max} is proportional to 1/\sigma_R when \xi is much smaller than \sigma_R, and that the localization is strongest when \xi is of the order of \sigma_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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Dates et versions

hal-00163902 , version 1 (18-07-2007)
hal-00163902 , version 2 (07-11-2007)

Identifiants

Citer

Pierre Lugan, David Clément, Philippe Bouyer, Alain Aspect, Laurent Sanchez-Palencia. Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates. Physical Review Letters, 2007, 99 (18), pp.180402. ⟨10.1103/PhysRevLett.99.180402⟩. ⟨hal-00163902v2⟩
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