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

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

Optical lattices have developed into a widely used and highly recognized tool to study many-
body quantum physics with special relevance for solid state type systems. One of the most …

Abstract Machine-learning techniques such as artificial neural networks are currently
revolutionizing many technological areas and have also proven successful in quantum …

On June 19th 1999, the European Ministers of Education signed the Bologna Declaration,
with which they agreed that the European university education should be uniformized …

Quantum phases of matter are characterized by the underlying correlations of the many-
body system. Although this is typically captured by a local order parameter, it has been …

Cold atoms in periodic potentials are versatile quantum systems for implementing simple
models prevalent in condensed matter theory. Here we realize the 2D Bose-Hubbard model …

Over recent years, exciting developments in the field of ultracold atoms confined in optical
lattices have led to numerous theoretical proposals devoted to the quantum simulation of …

Interactions lie at the heart of correlated many-body quantum phases,,. Typically, the
interactions between microscopic particles are described as two-body interactions …