TY - JOUR T1 - Quantum correlations and entanglement in far-from-equilibrium spin systems JF - Physical Review A Y1 - 2014 A1 - Kaden R. A. Hazzard A1 - Mauritz van den Worm A1 - Michael Foss-Feig A1 - Salvatore R. Manmana A1 - Emanuele Dalla Torre A1 - Tilman Pfau A1 - Michael Kastner A1 - Ana Maria Rey AB - By applying complementary analytic and numerical methods, we investigate the dynamics of spin-$1/2$ XXZ models with variable-range interactions in arbitrary dimensions. The dynamics we consider is initiated from uncorrelated states that are easily prepared in experiments, and can be equivalently viewed as either Ramsey spectroscopy or a quantum quench. Our primary focus is the dynamical emergence of correlations and entanglement in these far-from-equilibrium interacting quantum systems: we characterize these correlations by the entanglement entropy, concurrence, and squeezing, which are inequivalent measures of entanglement corresponding to different quantum resources. In one spatial dimension, we show that the time evolution of correlation functions manifests a non-perturbative dynamic singularity. This singularity is characterized by a universal power-law exponent that is insensitive to small perturbations. Explicit realizations of these models in current experiments using polar molecules, trapped ions, Rydberg atoms, magnetic atoms, and alkaline-earth and alkali atoms in optical lattices, along with the relative merits and limitations of these different systems, are discussed. VL - 90 UR - http://arxiv.org/abs/1406.0937v1 CP - 6 J1 - Phys. Rev. A U5 - 10.1103/PhysRevA.90.063622 ER -