| We demonstrate recent results on the superfluid to Mott Insulator transition, focusing on the on-site number distribution of the atoms and the global density distribution in the trap. When crossing the transition, on-site atom number squeezing and the formation of a shell structure with areas of constant density are expected. We show experimental signatures of both effects. While this transition was so far only seen in the ground state of the lattice, the opposite direction (insulating to superfluid) can also be observed in the first excited band. |
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