Thermodynamic study of ultracold fermions with SU(N) spin symmetry*

Advances in AMO techniques enabled the investigation of ultracold fermions with an enlarged SU(N) spin symmetry, and offered unique possibilities for exploring correlated quantum many-body systems with high spin. In such a fermionic system of ultracold two-electron atoms of ytterbium-173, multi-component fermions interact identically with others due to SU(N) symmetry with tunable N=1,...,6. In this talk, we report our progress toward a quantitative thermodynamic study of SU(N) fermions, including experiments on measuring compressibility, revealing bosonization and investigating collective excitations. These developments, together with recent experiments from other groups, set the stage for exploring SU(N) spin symmetry in the context of magnetic correlations both in bulk and lattices.