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 …

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

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 …

Can high-energy physics be simulated by low-energy, non-relativistic, many-body systems
such as ultracold atoms? Such ultracold atomic systems lack the type of symmetries and …

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 …

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

At nanokelvin temperatures, ultracold quantum gases can be stored in optical lattices, which
are arrays of microscopic trapping potentials formed by laser light. Such large arrays of …

Ultracold molecules confined in optical lattices or tweezer traps can be used to process
quantum information and simulate the behaviour of many-body quantum systems. Molecules …

We review novel methods for the investigation, control and manipulation of neutral atoms in
optical lattices. These setups allow unprecedented quantum control over large numbers of …