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 …

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

Periodic driving has emerged as a powerful tool in the quest to engineer new and exotic
quantum phases. While driven many-body systems are generically expected to absorb …

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 …

Quantum gases in optical lattices offer an opportunity to experimentally realize and explore
condensed matter models in a clean, tunable system. We used single atom–single lattice …

The Fermi-Hubbard model is a key concept in condensed matter physics and provides
crucial insights into electronic and magnetic properties of materials. Yet, the intricate nature …

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 …

We study the properties of the Bose polaron, an impurity strongly interacting with a Bose-
Einstein condensate, using a field-theoretic approach and make predictions for the spectral …

Quantum phases of matter are characterized by the underlying correlations of the many-
body system. Although this is typically captured by a local order parameter, it has been …

The Mott-insulating phase of the two-dimensional (2D) Bose-Hubbard model is expected to
be characterized by a nonlocal brane parity order. Parity order captures the presence of …