In this review, after providing the basic physical concept behind quantum annealing (or
adiabatic quantum computation), we present an overview of some recent theoretical as well …

Predicting the dynamics of quantum systems far from equilibrium represents one of the most
challenging problems in theoretical many-body physics,. While the evolution of a many-body …

Understanding the behaviour of isolated quantum systems far from equilibrium and their
equilibration is one of the most pressing problems in quantum many-body physics,. There is …

In quantum fluids, the quantization of circulation forbids the diffusion of a vortex swirling flow
seen in classical viscous fluids. Yet, accelerating quantum vortices may lose their energy …

Nonequilibrium interacting systems can evolve to exhibit large-scale structure and order. In
two-dimensional turbulent flow, the seemingly random swirling motion of a fluid can evolve …

Scale invariance and self-similarity in physics provide a unified framework for classifying
phases of matter and dynamical properties near equilibrium in both classical and quantum …

Closed quantum systems far from thermal equilibrium can show universal dynamics near
attractor solutions, known as non-thermal fixed points, generically in the form of scaling …

In this article we give an overview of the concept of universal dynamics near non-thermal
fixed points in isolated quantum many-body systems. We outline a non-perturbative kinetic …

We outline a kinetic theory of nonthermal fixed points for the example of a dilute Bose gas,
partially reviewing results obtained earlier, thereby extending, complementing, generalizing …

Nonthermal fixed points in the evolution of a quantum many-body system quenched far out
of equilibrium manifest themselves in a scaling evolution of correlations in space and time …