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

Abstract

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.

published version

References in corpus (3)

• Localization of Matter Waves in 2D-Disordered Optical Potentials
• Best mean-field for condensates
• Smoothing effect and delocalization of interacting Bose-Einstein condensates in random potentials

Cited by in corpus (10)

• Many-Body Physics with Ultracold Gases
• Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
• Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates
• Localization-Delocalization Transition of Indirect Excitons in Lateral Electrostatic Lattices
• Disorder-induced trapping versus Anderson localization in Bose-Einstein condensates expanding in disordered potentials
• Bose-Einstein-condensed gases in arbitrarily strong random potentials
• Superfluid to Bose-glass transition in a 1D weakly interacting Bose gas
• Localized states and interaction induced delocalization in Bose gases with quenched disorder
• Physical replicas and the Bose-glass in cold atomic gases
• Bose-Einstein condensates in disordered potentials