Composite Fermion Theory for Bosonic Quantum Hall States on Lattices
by
Gunnar Möller(University of Cambridge)
→
Europe/Stockholm
132:028
132:028
Description
We discuss 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.
