Since the achievement of quantum degeneracy in gases of chromium atoms in 2004, the
experimental investigation of ultracold gases made of highly magnetic atoms has …

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 …

The Kardar-Parisi-Zhang (KPZ) universality class describes the coarse-grained behavior of
a wealth of classical stochastic models. Surprisingly, KPZ universality was recently …

The fermionic Hubbard model (FHM) describes a wide range of physical phenomena
resulting from strong electron–electron correlations, including conjectured mechanisms for …

Conventional superconductivity emerges from pairing of charge carriers—electrons or holes—
mediated by phonons. In many unconventional superconductors, the pairing mechanism is …

Spin liquids are collective phases of quantum matter that have eluded discovery in
correlated magnetic materials for over half a century. Theoretical models of these enigmatic …

Simple models of interacting spins have an important role in physics. They capture the
properties of many magnetic materials, but also extend to other systems, such as bosons …

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 …

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 …

We introduce protocols to prepare many-body quantum states with quantum circuits assisted
by local operations and classical communication. We show that by lifting the requirement of …