TY - JOUR T1 - Lieb-Robinson bounds on n-partite connected correlation functions JF - Phys. Rev. A 96, 052334 Y1 - 2017 A1 - Minh C. Tran A1 - James R. Garrison A1 - Zhe-Xuan Gong A1 - Alexey V. Gorshkov AB -

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.

UR - https://arxiv.org/abs/1705.04355 U5 - https://doi.org/10.1103/PhysRevA.96.052334 ER -