Eur. Phys. J. D 59, 249-255 (2010)
https://doi.org/10.1140/epjd/e2010-00141-5

Diffusion and localization of cold atoms in 3D optical speckle

¹ Laboratoire de Physique et de Modélisation des Milieux Condensés, CNRS /Université Joseph Fourier, Maison des Magistères, BP 166, 38042 Grenoble Cedex 9, France
² Laboratoire de Physique des Plasmas, des Matériaux Conducteurs, et leurs Applications, Départment de Physique, Université des Sciences et de la Technologie d'Oran, USTO, 31000 Oran, Algeria

Corresponding author: ^a bart.van-tiggelen@grenoble.cnrs.fr

Received: 18 December 2009
Revised: 9 March 2010
Published online: 4 June 2010

Abstract

In this work we re-formulate and solve the self-consistent theory for localization to a Bose-Einstein condensate expanding in a 3D optical speckle. The long-range nature of the fluctuations in the potential energy, treated in the self-consistent Born approximation, make the scattering strongly velocity dependent, and its consequences for mobility edge and fraction of localized atoms have been investigated numerically.