This review describes the emerging field of waveguide quantum electrodynamics concerned
with the interaction of photons propagating in a waveguide with localized quantum emitters …

Quantum simulators are a promising technology on the spectrum of quantum devices from
specialized quantum experiments to universal quantum computers. These quantum devices …

In the field of monitored quantum circuits, it has remained an open question whether finite-
time protocols for preparing long-range entangled states lead to phases of matter that are …

In this article we provide a review of geometrical methods employed in the analysis of
quantum phase transitions and non-equilibrium dissipative phase transitions. After a …

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

This Colloquium gives an overview of recent theoretical and experimental progress in the
area of nonequilibrium dynamics of isolated quantum systems. There is particularly a focus …

Quantum many-body systems divide into a variety of phases with very different physical
properties. The questions of what kinds of phases exist and how to identify them seem hard …

Two gapped quantum ground states in the same phase are connected by an adiabatic
evolution which gives rise to a local unitary transformation that maps between the states. On …

The transverse field Ising and XY models (the simplest quantum spin models) provide the
organising principle for the rich variety of interconnected subjects which are covered in this …

Cold atomic gases have become a paradigmatic system for exploring fundamental physics,
which at the same time allows for applications in quantum technologies. The accelerating …