Smoothing effect and delocalization of interacting Bose-Einstein condensates in random potentials

Abstract

We theoretically investigate the physics of interacting Bose-Einstein condensates at equilibrium in a weak (possibly random) potential. We develop a perturbation approach to derive the condensate wavefunction for an amplitude of the potential smaller than the chemical potential of the condensate and for an arbitrary spatial variation scale of the potential. Applying this theory to disordered potentials, we find in particular that, if the healing length is smaller than the correlation length of the disorder, the condensate assumes a delocalized Thomas-Fermi profile. In the opposite situation where the correlation length is smaller than the healing length, we show that the random potential can be significantly smoothed and, in the meanfield regime, the condensate wavefunction can remain delocalized, even for very small correlation lengths of the disorder.

The word "screening" has been changed to "smoothing" to avoid confusions with other effects discussed in the literature. This does not affect the content of paper, nor the results, nor the physical discussion

Cited by in corpus (7)

• Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
• Ultracold Bose Gases in 1D Disorder: From Lifshits Glass to Bose-Einstein Condensate
• Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates
• Disorder-induced trapping versus Anderson localization in Bose-Einstein condensates expanding in disordered potentials
• Bose-Einstein-condensed gases in arbitrarily strong random potentials
• Anisotropic scattering of Bogoliubov excitations
• Bose-Einstein condensates in disordered potentials