69, 315 (1997), Google Scholar Crossref, ISI Ma, Modern Theory of Critical Phenomena (ĭ. The study of dynamical quantum phase transitions is especially important in context of their connection to the problem of the modern theory of quantum information, where namely non-equilibrium dynamics of many-body quantum system plays the major role. Here we review the recent achievements of this quickly developing part of low-temperature quantum physics. Dynamical quantum phase transitions reveal universality, scaling, connection to the topology, and many other interesting features. During the last few years a great progress has been achieved in studying of those singularities in the time dependence of characteristics of quantum mechanical systems, in particular, in understanding how the quantum critical points of equilibrium thermodynamics affect their dynamical properties. One of the most interesting themes in the study of dynamics of quantum many-body systems out of equilibrium is connected with the recently proposed important concept of dynamical quantum phase transitions. are among the most attractive topics of investigation in modern quantum physics. Last decade such new subjects like quantum quenches, thermalization, pre-thermalization, equilibration, generalized Gibbs ensemble, etc. Since the dynamics of a many-body quantum system typically involve many excited eigenstates, with a non-thermal distribution, the time evolution of such a system provides an unique way for investigation of non-equilibrium quantum statistical mechanics. Quantum many body systems out of equilibrium often manifest behavior, different from the one predicted by standard statistical mechanics and thermodynamics in equilibrium. OR Goto Start menu » "All apps".During recent years the interest to dynamics of quantum systems has grown considerably.
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