We overview the concept of dynamical phase transitions (DPTs) in isolated quantum
systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized …

Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

Entanglement is considered an essential resource in quantum technologies, and central to
the understanding of quantum many-body physics. Developing protocols to detect 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 …

We study scrambling in connection with multipartite entanglement dynamics in regular and
chaotic long-range spin chains, characterized by a well-defined semi-classical limit. For …

In this work we discuss the existence of time-translation symmetry breaking in a kicked
infinite-range-interacting clean spin system described by the Lipkin-Meshkov-Glick model …

We study in general the time evolution of correlation functions in a extended quantum
system after the quench of a parameter in the Hamiltonian. We show that correlation …

The existence or absence of nonanalytic cusps in the Loschmidt-echo return rate is
traditionally employed to distinguish between a regular dynamical phase (regular cusps) …

The spectrum of the Lipkin-Meshkov-Glick model is exactly derived in the thermodynamic
limit by means of a spin-coherent-state formalism. In the first step, a classical analysis allows …