The central idea of this review is to consider quantum field theory models relevant for
particle physics and replace the fermionic matter in these models by a bosonic one. This is …

Since the discovery of topological insulators, many topological phases have been predicted
and realized in a range of different systems, providing both fascinating physics and exciting …

Lattice gauge theories, which originated from particle physics in the context of Quantum
Chromodynamics (QCD), provide an important intellectual stimulus to further develop …

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 …

Gauge fields are central in our modern understanding of physics at all scales. At the highest
energy scales known, the microscopic universe is governed by particles interacting with …

Spin–orbit coupling links a particle's velocity to its quantum-mechanical spin, and is
essential in numerous condensed matter phenomena, including topological insulators and …

Topological insulators are new states of quantum matter which cannot be adiabatically
connected to conventional insulators and semiconductors. They are characterized by a full …

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

Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying
quantum field theories, and has led to impressive achievements. In particular, it significantly …