%0 Journal Article %J Phys. Rev. A 96, 052334 %D 2017 %T Lieb-Robinson bounds on n-partite connected correlation functions %A Minh C. 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 Phys. Rev. A 96, 052334 %G eng %U https://arxiv.org/abs/1705.04355 %R https://doi.org/10.1103/PhysRevA.96.052334