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

published versioon (no significant change compared to last version)

References in corpus (3)

• Ultracold Bose Gases in 1D Disorder: From Lifshits Glass to Bose-Einstein Condensate
• Localization of Matter Waves in 2D-Disordered Optical Potentials
• Smoothing effect and delocalization of interacting Bose-Einstein condensates in random potentials

Cited by in corpus (16)

• Many-Body Physics with Ultracold Gases
• Destruction of Anderson localization by a weak nonlinearity
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• One-dimensional Anderson localization in certain correlated random potentials
• Delocalization induced by nonlinearity in systems with disorder
• Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates
• Anderson localization of a Bose-Einstein condensate in a 3D random potential
• Disorder-induced trapping versus Anderson localization in Bose-Einstein condensates expanding in disordered potentials
• Lyapunov exponent for the laser speckle potential: a weak disorder expansion
• Anderson localization of a weakly interacting one dimensional Bose gas
• Excitations of the One Dimensional Bose-Einstein Condensates in a Random Potential
• Localized states and interaction induced delocalization in Bose gases with quenched disorder
• Physical replicas and the Bose-glass in cold atomic gases
• Effect of interactions on the diffusive expansion of a Bose-Einstein condensate in a 3D random potential
• Long-range correlations of density in a Bose-Einstein condensate expanding in a random potential
• Bose-Einstein condensates in disordered potentials