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 …

Quantum simulation, a subdiscipline of quantum computation, can provide valuable insight
into difficult quantum problems in physics or chemistry. Ultracold atoms in optical lattices …

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 theoretical advances in cold atom physics concentrating on strongly
correlated cold atoms in optical lattices. We discuss recently developed quantum optical …

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 …

Ultracold gases in optical lattices are of great interest, because these systems bear great
potential for applications in quantum simulations and quantum information processing, in …

In the last decade, quantum simulators, and in particular cold atoms in optical lattices, have
emerged as a valuable tool to study strongly correlated quantum matter. These experiments …

We review recent experimental and theoretical progress in realizing and simulating many-
body phases of ultracold atoms in optical lattices, which gives access to analog quantum …

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 …

Our knowledge of ultracold quantum gases is strongly influenced by our ability to probe
these objects. In situ imaging combined with single-atom sensitivity is an especially …