Anderson localization of a Bose-Einstein condensate in a 3D random potential

Abstract

We study the effect of Anderson localization on the expansion of a Bose-Einstein condensate, released from a harmonic trap, in a 3D random potential. We use scaling arguments and the self-consistent theory of localization to show that the long-time behavior of the condensate density is controlled by a single parameter equal to the ratio of the mobility edge and the chemical potential of the condensate. We find that the two critical exponents of the localization transition determine the evolution of the condensate density in time and space.

4 pages, 2 figures

References in corpus (2)

• Destruction of Anderson localization by a weak nonlinearity
• Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials

Cited by in corpus (4)

• Delocalization induced by nonlinearity in systems with disorder
• Disorder-induced trapping versus Anderson localization in Bose-Einstein condensates expanding in disordered potentials
• 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