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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	210401
Journal	Physical Review Letters
Volume	98
Issue number	21
DOIs	https://doi.org/10.1103/PhysRevLett.98.210401
Publication status	Published - 23 May 2007
Externally published	Yes

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title = "Anderson localization of expanding Bose-Einstein condensates in random potentials",

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 - Clément, D.

AU - Lugan, P.

AU - Bouyer, P.

AU - Shlyapnikov, G. V.

AU - Aspect, A.

PY - 2007/5/23

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N2 - 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.

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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DO - 10.1103/PhysRevLett.98.210401

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JO - Physical Review Letters

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Anderson localization of expanding Bose-Einstein condensates in random potentials

Abstract

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