Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates

Details Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates

2007-07-19

arxiv.org/abs/0707.2918v2

Physical Review Letters 99, 18 (2007) 180402

Physics

Condensed Matter

Other Condensed Matter

published version (no significant changes compared to last version)

Scientific paper

10.1103/PhysRevLett.99.180402

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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