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

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 …

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 …

Anderson localization of waves in disordered media was originally predicted fifty years ago,
in the context of transport of electrons in crystals. The phenomenon is much more general …

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 …

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

Quasiperiodic systems offer an appealing intermediate between long-range ordered and
genuine disordered systems, with unusual critical properties. One-dimensional models that …

In disordered media, quantum interference effects are expected to induce complete
suppression of electron conduction. The phenomenon, known as Anderson localization, has …

We use a bichromatic optical lattice to experimentally realize a disordered system of
ultracold strongly interacting Rb 87 bosons. In the absence of disorder, the atoms are pinned …