Quantum phase transitions (QPT) in the infinite-long Ising-XXZ diamond chain, characterized by the quantum correlations measured by the quantum discord (QD) and the entanglement of formation (EoF), are investigated exactly by the transfer-matrix method. QD and EoF are calculated numerically for...

We develop a rigorous formalism for the description of the evolution of states of quantum many-particle systems in terms of a one-particle density operator, which enables us to construct the kinetic equations in scaling limits in the presence of correlations of particle states at initial time,...