TY - JOUR
T1 - Persistence of locality in systems with power-law interactions
JF - Physical Review Letters
Y1 - 2014
A1 - Zhe-Xuan Gong
A1 - Michael Foss-Feig
A1 - Spyridon Michalakis
A1 - Alexey V. Gorshkov
AB - 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.
VL - 113
UR - http://arxiv.org/abs/1401.6174v2
CP - 3
J1 - Phys. Rev. Lett.
U5 - 10.1103/PhysRevLett.113.030602
ER -