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Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates

Abstract : 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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https://hal.archives-ouvertes.fr/hal-00163902
Contributor : Pierre Lugan <>
Submitted on : Wednesday, November 7, 2007 - 10:16:35 PM
Last modification on : Thursday, November 12, 2020 - 10:12:08 AM
Long-term archiving on: : Tuesday, September 21, 2010 - 3:05:45 PM

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

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