In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

Quantum simulation, a subdiscipline of quantum computation, can provide valuable insight
into difficult quantum problems in physics or chemistry. Ultracold atoms in optical lattices …

Statistical mechanics relies on the maximization of entropy in a system at thermal
equilibrium. However, an isolated quantum many-body system initialized in a pure state …

Spin models are the prime example of simplified many-body Hamiltonians used to model
complex, strongly correlated real-world materials. However, despite the simplified character …

Quantum simulation of spin models can provide insight into problems that are difficult or
impossible to study with classical computers. Trapped ions are an established platform for …

Coherent many-body quantum dynamics lies at the heart of quantum simulation and
quantum computation. Both require coherent evolution in the exponentially large Hilbert …

Simulating the real-time evolution of quantum spin systems far out of equilibrium poses a
major theoretical challenge, especially in more than one dimension. We experimentally …

We study coherent excitation hop** in a spin chain realized using highly excited
individually addressable Rydberg atoms. The dynamics are fully described in terms of an XY …

Dominating finite-range interactions in many-body systems can lead to intriguing self-
ordered phases of matter. For quantum magnets, Ising models with power-law interactions …

Ultracold polar molecules, with their long-range electric dipolar interactions, offer a unique
platform for studying correlated quantum many-body phenomena. However, realizing a …