Simulating quantum mechanics is known to be a difficult computational problem, especially
when dealing with large systems. However, this difficulty may be overcome by using some …

This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

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 …

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

In this review we discuss the works in the area of quantum simulation and many-body
physics with light, from the early proposals on equilibrium models to the more recent works …

Recent interest in aspects common to quantum information and condensed matter has
prompted a flurry of activity at the border of these disciplines that were far distant until a few …

This paper reviews the recent theoretical and experimental advances in the study of ultra-
cold gases made of bosonic particles interacting via the long-range, anisotropic dipole …

The counter-intuitive aspects of quantum physics have been for long illustrated by thought
experiments, from Einstein's photon box to Schrödinger's cat. These experiments have now …

Quantum simulators are controllable quantum systems that can be used to simulate other
quantum systems. Being able to tackle problems that are intractable on classical computers …

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 …