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, and Ana Maria Rey
Phys. Rev. A 90, 063622 – Published 15 December 2014

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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
1 More
  • Received 8 June 2014
  • Revised 27 October 2014

DOI:https://doi.org/10.1103/PhysRevA.90.063622

©2014 American Physical Society

Authors & Affiliations

Kaden R. A. Hazzard1,*, Mauritz van den Worm2, Michael Foss-Feig3, Salvatore R. Manmana4, Emanuele G. Dalla Torre5, Tilman Pfau6, Michael Kastner7,2, and Ana Maria Rey1

  • 1JILA and Department of Physics, University of Colorado-Boulder, NIST, Boulder, Colorado 80309-0440, USA
  • 2Institute of Theoretical Physics, University of Stellenbosch, Stellenbosch 7600, South Africa
  • 3JQI, NIST, Department of Physics, University of Maryland, College Park, Maryland 20742, USA
  • 4Institute for Theoretical Physics, Georg-August-Universität Göttingen, D-37077 Göttingen, Germany
  • 5Department of Physics, Harvard University, Cambridge, Massachusetts 01238, USA
  • 65. Physikalisches Institut and Center for Integrated Quantum Science and Technology, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
  • 7National Institute for Theoretical Physics (NITheP), Stellenbosch 7600, South Africa

  • *kaden.hazzard@gmail.com

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 90, Iss. 6 — December 2014

Reuse & Permissions
Access Options

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×