This article reviews recent theoretical and experimental advances in the fundamental
understanding and active control of quantum fluids of light in nonlinear optical systems. In …

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

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

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 …

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 …

In relativistic quantum field theory, information propagation is bounded by the speed of light.
No such limit exists in the non-relativistic case, although in real physical systems, short …

Abstract The Jaynes‐Cummings model describes the coupling between photons and a
single two‐level atom in a simplified representation of light‐matter interactions. In circuit …

Spontaneous symmetry breaking plays a key role in our understanding of nature. In
relativistic quantum field theory, a broken continuous symmetry leads to the emergence of …

We derive effective Hamiltonians for lattice bosons with strong geometrical frustration of the
kinetic energy by projecting the interactions on the flat lowest Bloch band. Specifically, we …