Quantum simulation experiments implement effective Hamiltonians using control over both the internal and the external degrees of the particles, traditionally alkali atoms. Ensembles of atoms with the more complex Alkaline-earth-like electronic structure allow for novel many-body systems to be modeled and probed, due to their additional internal structure. We use the fermionic ytterbium-173 isotope's specific properties in two ways: To implement quantum gases with extended SU(N)-symmetry as well as to couple internal degrees of freedom of the atoms to external degrees with state-dependent potentials and interactions. As a consequence of the SU(N)-symmetry of the interactions in the fermionic gas, we can realize a generalized Fermi-Hubbard model with up to SU(6)-symmetry. Combining the nuclear degree of freedom with the electronic one, we can also implement a Kondo-like lattice structure with two effective orbitals represented by the internal states. For this, we implement a state-dependent lattice setup and characterize the unusual inter-orbital interactions in such a system.
Simon studied physics at the University of Heidelberg and at Stony Brook University, NY. He graduated from Heidelberg in 2003 working in the group of M. Weidemüller. He received his PhD from the University of Mainz working in the group of Immanuel Bloch on ultracold bosons in optical lattices. Since 2007 he is a postdoc at Harvard University in the group of Markus Greiner.