After many years of development of the basic tools, quantum simulation with ultracold atoms
has now reached the level of maturity at which it can be used to investigate complex …

A particular strength of ultracold quantum gases is the range of versatile detection methods
that are available. As they are based on atom–light interactions, the whole quantum optics …

Ultracold atoms in optical lattices form a competitive candidate for quantum computation
owing to the excellent coherence properties, the highly parallel operations over spins, and …

The repulsive Hubbard Hamiltonian is one of the foundational models describing strongly
correlated electrons and is believed to capture essential aspects of high-temperature …

In the last decade, quantum simulators, and in particular cold atoms in optical lattices, have
emerged as a valuable tool to study strongly correlated quantum matter. These experiments …

Quantum gas microscopes have revolutionized quantum simulations with ultracold atoms,
allowing one to measure local observables and snapshots of quantum states. However …

Entanglement is one of the most intriguing features of quantum mechanics. It describes non-
local correlations between quantum objects, and is at the heart of quantum information …

Quantum magnetism originates from the exchange coupling between quantum mechanical
spins. Here, we report on the observation of nearest-neighbor magnetic correlations …

Mott insulators are paradigmatic examples of strongly correlated physics from which many
phases of quantum matter with hard-to-explain properties emerge. Extending the typical SU …

We review recent experimental and theoretical progress in realizing and simulating many-
body phases of ultracold atoms in optical lattices, which gives access to analog quantum …