%0 Journal Article
%J Physical Review A
%D 2017
%T Lieb-Robinson bounds on n-partite connected correlations
%A Minh Cong Tran
%A James R. Garrison
%A Zhe-Xuan Gong
%A Alexey V. Gorshkov
%X Lieb and Robinson provided bounds on how fast bipartite connected correlations can arise in systems with only short-range interactions. We generalize Lieb-Robinson bounds on bipartite connected correlators to multipartite connected correlators. The bounds imply that an n-partite connected correlator can reach unit value in constant time. Remarkably, the bounds also allow for an n-partite connected correlator to reach a value that is exponentially large with system size in constant time, a feature which stands in contrast to bipartite connected correlations. We provide explicit examples of such systems.

%B Physical Review A
%V 96
%8 2017/11/27
%G eng
%U https://arxiv.org/abs/1705.04355
%N 5
%R 10.1103/PhysRevA.96.052334