Since the pioneering works by Landau, Zener, Stückelberg, and Majorana (LZSM), it has
been known that driving a quantum two-level system results in tunneling between its states …

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 …

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 …

We review concepts and methods associated with quantum discord and related topics. We
also describe their possible connections with other aspects of quantum information and …

We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

The recent success in quantum annealing, ie, optimization of the cost or energy functions of
complex systems utilizing quantum fluctuations is reviewed here. The concept is introduced …

The dynamics of the Luttinger model after a quantum quench is studied. We compute in
detail one-and two-point correlation functions for two types of quenches: from a …

In one dimension, the area law and its implications for the approximability by matrix product
states are the key to efficient numerical simulations involving quantum states. Similarly, in …

We study the dynamical response of a system to a sudden change of the tuning parameter λ
starting (or ending) at the quantum critical point. In particular, we analyze the scaling of the …

It is generally believed that a generic system can be reversibly transformed from one state to
another by a sufficiently slow change of parameters. Microscopically, this belief is often …