2007/07/31 by Pierre Lugan, David Clément, Philippe Bouyer +2 · 4 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.other
paper · pdf · doi:10.1103/physrevlett.99.180402
published as Physical Review Letters 99, 18 (2007) 180402 · published version (no significant changes compared to last version)
openalex publication_date 2007/11/02 · arxiv created 2007/11/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the Anderson localization of Bogolyubov quasiparticles in an interacting Bose-Einstein condensate (with a healing length \ensuremathξ) subjected to a random potential (with a finite correlation length \ensuremathσR). We derive analytically the Lyapunov exponent as a function of the quasiparticle momentum k, and we study the localization maximum kmax. For 1D speckle potentials, we find that kmax\ensuremath∝1/\ensuremathξ when \ensuremathξ\ensuremath≫\ensuremathσR while kmax\ensuremath∝1/\ensuremathσR when \ensuremathξ\ensuremath≪\ensuremathσR, and that the localization is strongest when \ensuremathξ\ensuremath∼\ensuremathσR. Numerical calculations support our analysis, and our estimates indicate that the localization of the Bogolyubov quasiparticles is accessible in experiments with ultracold atoms.