Disorder-induced trapping versus Anderson localization in Bose-Einstein condensates expanding in disordered potentials

Details Disorder-induced trapping versus Anderson localization in Bose-Einstein condensates expanding in disordered potentials Disorder-induced trapping versus Anderson localization in Bose-Einstein condensates expanding in disordered potentials

2008-03-12

arxiv.org/abs/0803.1774v2

New Journal of Physics 10 (2008) 045019

Physics

Condensed Matter

Other Condensed Matter

New Journal of Physics; focus issue "Quantum Correlations in Tailored Matter - Common perspectives of mesoscopic systems and q

Scientific paper

10.1088/1367-2630/10/4/045019

We theoretically investigate the localization of an expanding Bose-Einstein condensate with repulsive atom-atom interactions in a disordered potential. We focus on the regime where the initial inter-atomic interactions dominate over the kinetic energy and the disorder. At equilibrium in a trapping potential and for small disorder, the condensate shows a Thomas-Fermi shape modified by the disorder. When the condensate is released from the trap, a strong suppression of the expansion is obtained in contrast to the situation in a periodic potential with similar characteristics. This effect crucially depends on both the momentum distribution of the expanding BEC and the strength of the disorder. For strong disorder, the suppression of the expansion results from the fragmentation of the core of the condensate and from classical reflections from large modulations of the disordered potential in the tails of the condensate. We identify the corresponding disorder-induced trapping scenario for which large atom-atom interactions and strong reflections from single modulations of the disordered potential play central roles. For weak disorder, the suppression of the expansion signals the onset of Anderson localization, which is due to multiple scattering from the modulations of the disordered potential. We compute analytically the localized density profile of the condensate and show that the localization crucially depends on the correlation function of the disorder. In particular, for speckle potentials the long-range correlations induce an effective mobility edge in 1D finite systems. Numerical calculations performed in the mean-field approximation support our analysis for both strong and weak disorder.

Affiliated with

Also associated with

No associations

Rating

Disorder-induced trapping versus Anderson localization in Bose-Einstein condensates expanding in disordered potentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Disorder-induced trapping versus Anderson localization in Bose-Einstein condensates expanding in disordered potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Disorder-induced trapping versus Anderson localization in Bose-Einstein condensates expanding in disordered potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-369839