We review the concepts and the present state of theoretical studies of spin-imbalanced
superfluidity, in particular the elusive Fulde–Ferrell–Larkin–Ovchinnikov (FFLO) state, in the …

We consider imbalanced Fermi gases with strong attractive interactions, for which Cooper-
pair formation plays an important role. The two-component mixtures consist either of …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

The pairing of fermions lies at the heart of superconductivity and superfluidity. The stability of
these pairs determines the robustness of the superfluid state, and the quest for …

Phase transitions are dramatic phenomena: water freezes into ice, atomic spins
spontaneously align in a magnet, and liquid helium becomes superfluid. Sometimes, such a …

Recent experiments with ultra-cold atoms have demonstrated the possibility of realizing
fermionic superfluids with imbalanced spin populations experimentally. We discuss how …

We study the Fermi gas at unitarity and at T= 0 by assuming that, at high polarizations, it is a
normal Fermi liquid composed of weakly interacting quasiparticles associated with the …

We present an overview of recent developments in species-imbalanced ('polarized')
Feshbach-resonant Fermi gases. We summarize the current status of thermodynamics of …

We study resonantly-paired s-wave superfluidity in a degenerate gas of two species
(hyperfine states labeled by↑,↓) of fermionic atoms when the numbers N↑ and N↓ of the …

The two-component Fermi gas is the simplest fermion system exhibiting superfluidity, and as
such is relevant to topics ranging from superconductivity to quantum chromodynamics …