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 …

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 …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

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 derive exact general relations between various observables for N spin-1/2 fermions with
zero-range or short-range interactions, in continuous space or on a lattice, in two or three …

Few-body physics has played a prominent role in atomic, molecular and nuclear physics
since the early days of quantum mechanics. It is now possible—thanks to tremendous …

The tractability of the Sachdev-Ye-Kitaev (SYK) model at the large N limit makes it ideal to
theoretically study its chaotic non-Fermi liquid behavior and holographic duality properties …

We discuss exact solutions of the Schrödinger equation for the system of two ultracold atoms
confined in an axially symmetric harmonic potential. We investigate different geometries of …

The universal three-body dynamics in ultra-cold binary Fermi and Fermi–Bose mixtures is
studied. Two identical fermions of mass m and a particle of mass m 1 with the zero-range …

Analytic expressions describe universal elastic and reactive rates of quasi-two-dimensional
and quasi-one-dimensional collisions of highly reactive ultracold molecules interacting by a …