Cold atomic gases have become a paradigmatic system for exploring fundamental physics,
which at the same time allows for applications in quantum technologies. The accelerating …

The physics of quantum degenerate atomic Fermi gases in uniform as well as in
harmonically trapped configurations is reviewed from a theoretical perspective. Emphasis is …

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 …

We have observed condensation of fermionic atom pairs in the BCS-BEC crossover regime.
A trapped gas of fermionic K 40 atoms is evaporatively cooled to quantum degeneracy and …

This article reviews theoretical and experimental developments for one-dimensional Fermi
gases. Specifically, the experimentally realized two-component delta-function interacting …

After decades of improvements in cooling techniques of several atomic species and in
finding methods for the achievement of stable quantum mixtures, the field is now ready for …

Quasiperiodic systems offer an appealing intermediate between long-range ordered and
genuine disordered systems, with unusual critical properties. One-dimensional models that …

We review the quantum fidelity approach to quantum phase transitions in a pedagogical
manner. We try to relate all established but scattered results on the leading term of the …

We report on the observation of a highly degenerate, strongly interacting Fermi gas of atoms.
Fermionic lithium-6 atoms in an optical trap are evaporatively cooled to degeneracy using a …

We discuss the behavior of weakly bound bosonic dimers formed in a two-component cold
Fermi gas at a large positive scattering length a for the interspecies interaction. We find the …