| Description |
The phenomena of condensation, superfluidity, and superconductivity, as well as the more speculative supersolid state, are among the most fascinating topics of cold matter physics, be it in atomic or condensed form. I will review these phenomena and their interrelation and then proceed with a discussion of the youngest member in the family, the atomic Bose gas pushed into the strong correlation regime with the help of an optical lattice. I will discuss the phase diagram of this system, its excitations, and their relation to weakly interacting Bosons, making use of various theoretical approaches. Emphasis is given to the relation to superfluids in condensed matter. I will end with a short discussion of a non-equilibrium system, the strongly correlated polariton gas.
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