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Abstract: We study atoms trapped with a harmonic confinement in an optical latticecharacterized by a flat band and Dirac cones. We show that such an opticallattice can be constructed which can be accurately described with the tightbinding or Hubbard models. In the case of fermions the release of the harmonicconfinement removes fast atoms occupying the Dirac cones while those occupyingthe flat band remain immobile. Using exact diagonalization and dynamics wedemonstrate that a similar strong occupation of the flat band does not happenin bosonic case and furthermore that the mean field model is not capable fordescribing the dynamics of the boson cloud.



Autor: V. Apaja, M. Hyrkäs, M. Manninen

Fuente: https://arxiv.org/







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