%0 Journal Article
%J Physical Review Letters
%D 2014
%T Persistence of locality in systems with power-law interactions
%A Zhe-Xuan Gong
%A Michael Foss-Feig
%A Spyridon Michalakis
%A Alexey V. Gorshkov
%X Motivated by recent experiments with ultra-cold matter, we derive a new bound on the propagation of information in $D$-dimensional lattice models exhibiting $1/r^{\alpha}$ interactions with $\alpha>D$. The bound contains two terms: One accounts for the short-ranged part of the interactions, giving rise to a bounded velocity and reflecting the persistence of locality out to intermediate distances, while the other contributes a power-law decay at longer distances. We demonstrate that these two contributions not only bound but, except at long times, \emph{qualitatively reproduce} the short- and long-distance dynamical behavior following a local quench in an $XY$ chain and a transverse-field Ising chain. In addition to describing dynamics in numerous intractable long-range interacting lattice models, our results can be experimentally verified in a variety of ultracold-atomic and solid-state systems.
%B Physical Review Letters
%V 113
%8 2014/7/16
%G eng
%U http://arxiv.org/abs/1401.6174v2
%N 3
%! Phys. Rev. Lett.
%R 10.1103/PhysRevLett.113.030602