Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates

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dc.creatorLugan, Pierre
dc.creatorClément, David
dc.creatorBouyer, Philippe
dc.creatorAspect, Alain
dc.creatorSanchez-Palencia, Laurent
dc.date2007-07-19
dc.date2007-11-07
dc.date.accessioned2026-07-07T08:40:54Z
dc.date.available2026-07-07T08:40:54Z
dc.descriptionWe 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.
dc.descriptionpublished version (no significant changes compared to last version)
dc.identifierhttps://arxiv.org/abs/0707.2918
dc.identifierhttp://arxiv.org/abs/0707.2918
dc.identifierPhysical Review Letters 99, 18 (2007) 180402
dc.identifierdoi:10.1103/PhysRevLett.99.180402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141511
dc.subjectOther Condensed Matter
dc.titleAnderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates
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