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

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

References in corpus (3)

• Observation of Vortex Pinning in Bose-Einstein Condensates
• Quantized Vortex States of Strongly Interacting Bosons in a Rotating Optical Lattice
• Vortex liquids and vortex quantum Hall states in trapped rotating Bose gases

Cited by in corpus (10)

• Composite Fermion Theory for Bosonic Atoms in Optical Lattices
• Quantum Hall physics in rotating Bose-Einstein condensates
• Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
• Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall effect supremacy
• Optical lattice quantum Hall effect
• Dynamic optical lattices: two-dimensional rotating and accordion lattices for ultracold atoms
• Uniformly frustrated bosonic Josephson-junction arrays
• Characterizing the Hofstadter butterfly's outline with Chern numbers
• Quasi-angular momentum of Bose and Fermi gases in rotating optical lattices
• Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices