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Hall effects in Bose-Einstein condensates in a rotating optical lattice

arXiv:0705.3341 · doi:10.1103/PhysRevA.76.043601

Abstract

Using the Kubo formalism, we demonstrate fractional quantum Hall features in a rotating Bose-Einstein condensate in a co-rotating two-dimensional optical lattice. The co-rotating lattice and trap potential allow for an effective magnetic field and compensation of the centrifugal potential. Fractional quantum Hall features are seen for the single-particle system and for few strongly interacting many-particle systems.

11 pages, 13 figures