These lecture notes contain an introduction to the physics of quantum
mixtures of ultracold atoms trapped in multiple internal states. I will discuss
the case of fermionic isotopes of alkaline-earth atoms, which feature an
intrinsic SU(N) interaction symmetry and convenient methods for the optical
manipulation of their nuclear spin. Some research directions will be presented,
with focus on experiments performed in Florence with nuclear-spin mixtures of
173Yb atoms in optical lattices.Comment: 33 pages, 13 figures, Lecture notes for the Proceedings of the
International School of Physics "Enrico Fermi" Course 211 "Quantum Mixtures
with Ultra-Cold Atoms" (Varenna, Italy, 2022