Anderson localization of expanding Bose-Einstein condensates in random potentials

L. Sanchez-Palencia; D. Clément; P. Lugan; P. Bouyer; G. V. Shlyapnikov; A. Aspect

doi:10.1103/PhysRevLett.98.210401

Anderson localization of expanding Bose-Einstein condensates in random potentials

L. Sanchez-Palencia
, D. Clément
, P. Lugan
, P. Bouyer
, G. V. Shlyapnikov
, A. Aspect

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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 σR. For speckle potentials the Fourier transform of the correlation function vanishes for momenta k>2/σR so that the Lyapunov exponent vanishes in the Born approximation for k>1/σR. Then, for the initial healing length of the condensate ξin>σR the localization is exponential, and for ξin<σR it changes to algebraic.

langue originale	Anglais
Numéro d'article	210401
journal	Physical Review Letters
Volume	98
Numéro de publication	21
Les DOIs	https://doi.org/10.1103/PhysRevLett.98.210401
état	Publié - 23 mai 2007
Modification externe	Oui

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abstract = "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 σR. For speckle potentials the Fourier transform of the correlation function vanishes for momenta k>2/σR so that the Lyapunov exponent vanishes in the Born approximation for k>1/σR. Then, for the initial healing length of the condensate ξin>σR the localization is exponential, and for ξin<σR it changes to algebraic.",

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AU - Aspect, A.

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AB - 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 σR. For speckle potentials the Fourier transform of the correlation function vanishes for momenta k>2/σR so that the Lyapunov exponent vanishes in the Born approximation for k>1/σR. Then, for the initial healing length of the condensate ξin>σR the localization is exponential, and for ξin<σR it changes to algebraic.

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Anderson localization of expanding Bose-Einstein condensates in random potentials

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