Towards Strongly Interacting Bosons and Fermions.- Hubbard Models for Bosons and Fermions.- Detection and Observables.- Experimental Apparatus.- Interacting Fermions in Optical Lattice Potentials.- Quantum Phase Revival Spectroscopy and Multi-body Interactions.- Interacting Mixtures of Bosons and Fermions in Optical Lattice Potentials.- Coherent Interaction of a Single Fermion with a Small Bosonic Field.
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