Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials

Journal Article · Fri May 25 04:00:00 EDT 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.98.210401· OSTI ID:20951383

Sanchez-Palencia, L; Clement, D; Lugan, P; Bouyer, P; Aspect, A ^[1]; Shlyapnikov, G V ^[2]

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1. Laboratoire Charles Fabry de l'Institut d'Optique, CNRS and Univ. Paris-Sud, Campus Polytechnique, RD 128, F-91127 Palaiseau cedex (France)
2. Laboratoire de Physique Theorique et Modeles Statistiques, Univ. Paris-Sud, F-91405 Orsay cedex (France)

We show that the expansion of an initially confined interacting 1D Bose-Einstein condensate can exhibit Anderson localization in a weak random potential with correlation length {sigma}{sub R}. For speckle potentials the Fourier transform of the correlation function vanishes for momenta k>2/{sigma}{sub R} so that the Lyapunov exponent vanishes in the Born approximation for k>1/{sigma}{sub R}. Then, for the initial healing length of the condensate {xi}{sub in}>{sigma}{sub R} the localization is exponential, and for {xi}{sub in}<{sigma}{sub R} it changes to algebraic.

• OSTI ID: 20951383
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 21 Vol. 98; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BORN APPROXIMATION
BOSE-EINSTEIN CONDENSATION
CORRELATION FUNCTIONS
FOURIER TRANSFORMATION
LYAPUNOV METHOD
POTENTIALS
RANDOMNESS