Quantum correlations and entanglement in far-from-equilibrium spin systems

Kaden R.A. Hazzard, Mauritz Van Den Worm, Michael Foss-Feig, Salvatore R. Manmana, Emanuele G. Dalla Torre, Tilman Pfau, Michael Kastner, Ana Maria Rey

Research output: Contribution to journalArticlepeer-review

78 Scopus citations

Abstract

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.

Original languageEnglish
Article number063622
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume90
Issue number6
DOIs
StatePublished - 15 Dec 2014
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2014 American Physical Society.

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