Ultracold Bose Gases in 1D Random Potentials: From Lifshits Glasses to Bose-Einstein Condensates

Pierre Lugan (1) , David Clément (2) , Philippe Bouyer (2) , Alain Aspect (2) , Maciej Lewenstein (3) , Laurent Sanchez-Palencia (2)

1 LCFIO - Laboratoire Charles Fabry de l'Institut d'Optique
2 laboratoire Charles Fabry de l'Institut d'Optique / Optique atomique
3 ICFO - Institut de Ciencies Fotoniques [Castelldefels]

We study an ultracold Bose gas in the presence of 1D disorder for repulsive inter-atomic interactions varying from zero to the Thomas-Fermi regime. We show that for weak interactions the Bose gas populates a finite number of localized single-particle Lifshits states, while for strong interactions a delocalized disordered Bose-Einstein condensate is formed. We discuss the schematic quantum-state diagram and derive the equations of state for various regimes.

Mots clés: Bose-Einstein; condensates; disorder; ultracold; quantum gases; Lifshits; Anderson; interactions; phase diagram

Domaines: Autre [cond-mat.other]

Pierre Lugan, David Clément, Philippe Bouyer, Alain Aspect, Maciej Lewenstein, et al.. Ultracold Bose Gases in 1D Random Potentials: From Lifshits Glasses to Bose-Einstein Condensates. 2007. ⟨hal-00106356v3⟩