TY - JOUR
T1 - Quantum correlations and entanglement in far-from-equilibrium spin systems
AU - Hazzard, Kaden R.A.
AU - Van Den Worm, Mauritz
AU - Foss-Feig, Michael
AU - Manmana, Salvatore R.
AU - Dalla Torre, Emanuele G.
AU - Pfau, Tilman
AU - Kastner, Michael
AU - Rey, Ana Maria
N1 - Publisher Copyright:
© 2014 American Physical Society.
PY - 2014/12/15
Y1 - 2014/12/15
N2 - By applying complementary analytic and numerical methods, we investigate the dynamics of spin-12 XXZ models with variable-range interactions in arbitrary dimensions. The dynamics we consider is initiated from uncorrelated states that are easily prepared in experiments; it 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 nonperturbative 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-metal atoms in optical lattices, along with the relative merits and limitations of these different systems, are discussed.
AB - By applying complementary analytic and numerical methods, we investigate the dynamics of spin-12 XXZ models with variable-range interactions in arbitrary dimensions. The dynamics we consider is initiated from uncorrelated states that are easily prepared in experiments; it 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 nonperturbative 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-metal atoms in optical lattices, along with the relative merits and limitations of these different systems, are discussed.
UR - http://www.scopus.com/inward/record.url?scp=84918790903&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.90.063622
DO - 10.1103/PhysRevA.90.063622
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
SN - 1050-2947
VL - 90
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 6
M1 - 063622
ER -