Ultracold Bose Gases in 1D Disorder: From Lifshits Glass to Bose-Einstein Condensate

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

1 laboratoire Charles Fabry de l'Institut d'Optique / Optique atomique
2 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: quantum-state diagram; interactions; Anderson; quantum gases; Lifshits; Bose-Einstein; condensates; disorder; ultracold

Domaines: Autre [cond-mat.other]

Pierre Lugan, David Clément, Philippe Bouyer, Alain Aspect, Maciej Lewenstein, et al.. Ultracold Bose Gases in 1D Disorder: From Lifshits Glass to Bose-Einstein Condensate. Physical Review Letters, 2007, 98, pp.170403. ⟨10.1103/PhysRevLett.98.170403⟩. ⟨hal-00106356v5⟩