There have been significant recent advances in realizing band structures with geometrical
and topological features in experiments on cold atomic gases. This review summarizes …

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 …

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 …

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 …

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 …

Quantum field theory reconciles quantum mechanics and special relativity, and plays a
central role in many areas of physics. We developed a quantum algorithm to compute …

Abelian and non‐Abelian gauge theories are of central importance in many areas of
physics. In condensed matter physics, Abelian U (1) lattice gauge theories arise in the …