The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

Time-periodic forcing in the form of coherent radiation is a standard tool for the coherent
manipulation of small quantum systems like single atoms. In the last years, periodic driving …

The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

This paper reviews recent experimental and theoretical progress concerning many-body
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …

The order parameter and its variations in space and time in many different states in
condensed matter physics at low temperatures are described by the complex function Ψ (r …

Moiré superlattices offer an unprecedented opportunity for tailoring interactions between
quantum particles,,,,,,,,,–and their coupling to electromagnetic fields,,,,,–. Strong superlattice …

The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

The observation of the superfluid to Mott insulator phase transition of ultracold atoms in
optical lattices was an enabling discovery in experimental many-body physics, providing the …

We demonstrate experimentally that matter waves can be coherently and adiabatically
loaded and controlled in one-, two-, and three-dimensional strongly driven optical lattices …

We study the quantum phases of hard-core bosonic polar molecules on a two-dimensional
square lattice interacting via repulsive dipole-dipole interactions. In the limit of small …