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 …

Artificial crystals of light, consisting of hundreds of thousands of optical microtraps, are
routinely created by interfering optical laser beams. These so-called optical lattices act as …

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 1958, Anderson predicted the localization 1 of electronic wavefunctions in disordered
crystals and the resulting absence of diffusion. It is now recognized that Anderson …

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

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 …

When attempting to understand the role of disorder in condensed-matter physics, we face
considerable experimental and theoretical difficulties, and many questions are still open …

We observe a localized phase of ultracold bosonic quantum gases in a 3-dimensional
optical lattice induced by a small contribution of fermionic atoms acting as impurities in a …

We show that the expansion of an initially confined interacting 1D Bose-Einstein condensate
can exhibit Anderson localization in a weak random potential with correlation length σ R. For …

We observe the suppression of the 1D transport of an interacting elongated Bose-Einstein
condensate in a random potential with an amplitude that is small compared to the typical …