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

There have been significant recent advances in realizing band structures with geometrical
and topological features in experiments on cold atomic gases. This review summarizes …

Ultracold quantum gases offer a unique setting for quantum simulation of interacting many-
body systems. The high degree of controllability, the novel detection possibilities and the …

For a system at a temperature of absolute zero, all thermal fluctuations are frozen out, while
quantum fluctuations prevail. These microscopic quantum fluctuations can induce a …

After many years of development of the basic tools, quantum simulation with ultracold atoms
has now reached the level of maturity at which it can be used to investigate complex …

By combining theory and experiments, we demonstrate that dipolar quantum gases of both
Er 166 and Dy 164 support a state with supersolid properties, where a spontaneous density …

A phase transition describes the sudden change of state of a physical system, such as
melting or freezing. Quantum gases provide the opportunity to establish a direct link …

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

Strongly correlated quantum systems are among the most intriguing and fundamental
systems in physics. One such example is the Tonks–Girardeau gas,, proposed about 40 …

In this Letter we pose the question of whether a many-body quantum system with a full set of
conserved quantities can relax to an equilibrium state, and, if it can, what the properties of …