Resonantly interacting Fermi system has attracted growing interests since its
realization in ultracold atoms using the Feshbach resonance. One spectacular few-body
phenomenon appearing at resonance is the Efimov states, an infinitenumber of 3-body
bound states with discrete scale invariance. I first review 3-body physics in a twocomponent
Fermi system, and show when 3-body bound states, such as the Efimov
states, can appear. I then show how such few-body knowledge can give new insights
into many-body physics in a two-component Fermi system. I first show that there exists
a stable many-body ground state composed of trimers. This trimer many-body phase is
found to be a three-component Fermi liquid with SU(3) symmety. It is robust against
recombination losses and can be realized in future cold atom experiments. Finally, I
talk about our recent study on the virial expansion in the unitary Fermi gas. |