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 -