title: Persistence of locality in systems with power-law interactions.
abstract: Motivated by recent experiments with ultracold matter, we derive a new bound on the propagation of information in D-dimensional lattice models exhibiting 1/r^{α} interactions with α>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, whereas the other contributes a power-law decay at longer distances. We demonstrate that these two contributions not only bound but, except at long times, 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.
authors.affiliation: Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA.
authors.forename: Zhe-Xuan
authors.initials: ZX
authors.lastname: Gong
authors.affiliation: Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA.
authors.forename: Michael
authors.initials: M
authors.lastname: Foss-Feig
authors.affiliation: Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, California 91125, USA.
authors.forename: Spyridon
authors.initials: S
authors.lastname: Michalakis
authors.affiliation: Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA.
authors.forename: Alexey V
authors.initials: AV
authors.lastname: Gorshkov