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

Physics – Condensed Matter – Other Condensed Matter

Scientific paper

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Scientific paper

10.1103/PhysRevLett.98.170403

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.

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