Composite Fermion Theory for Bosonic Atoms in Optical Lattices

Details Composite Fermion Theory for Bosonic Atoms in Optical Lattices Composite Fermion Theory for Bosonic Atoms in Optical Lattices

2009-04-20

arxiv.org/abs/0904.3097v1

Phys. Rev. Lett. 103, 105303 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.103.105303

We study the groundstates of cold atomic gases on rotating optical lattices, as described by the Bose-Hubbard model in a uniform effective magnetic field. Mapping the bosons to composite fermions leads to the prediction of quantum Hall fluids that have no counterpart in the continuum. We construct trial wavefunctions for these phases, and perform numerical tests of the predictions of the composite fermion model. Our results establish the existence of strongly correlated phases beyond those in the continuum limit, and provide evidence for a wider scope of the composite fermion approach beyond its application to the lowest Landau-level.

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