2014/06/04 by Kaden R. A. Hazzard, Mauritz van den Worm, Michael Foss-Feig +9 · 93 citations
Computer Science · Physics and Astronomy · #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Statistical physics #cond-mat.quant-gas #physics.atom-ph #quant-ph
paper · pdf · doi:10.1103/physreva.90.063622
published in Physical Review A 90(6) (American Physical Society) · 22 pages, 8 figures, 1 table
arxiv created 2014/06/04 · openalex publication_date 2014/12/15 · arxiv updated 2014/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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; 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.