This paper reviews recent experimental and theoretical progress concerning many-body
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …

Investigations of emergent symmetry breaking phenomena occurring in small finite-size
systems are reviewed, with a focus on the strongly correlated regime of electrons in two …

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 …

In this article, we review developments in the theory of rapidly rotating degenerate atomic
gases. The main focus is on the equilibrium properties of a single-component atomic Bose …

The main theme of this review is the many-body physics of vortices in quantum droplets of
bosons or fermions in the limit of small particle numbers. Systems of interest include cold …

We study strongly correlated ground and excited states of rotating quasi-2D Fermi gases
constituted of a small number of dipole-dipole interacting particles with dipole moments …

The year 2015 was the International Year of Light. However, it also marked, the 20th
anniversary of the first observation of Bose–Einstein condensation in atomic vapors by Eric …

At present, great effort is spent on the experimental realization of gauge fields for quantum
many-body systems in optical lattices. At the same time, the single-site-resolved detection of …

Using exact diagonalization for a small system of cold bosonic atoms, we analyze the
emergence of strongly correlated states in the presence of an artificial magnetic field. This …