Lieb-Robinson bounds on n-partite connected correlation functions

TitleLieb-Robinson bounds on n-partite connected correlation functions
Publication TypeJournal Article
Year of Publication2017
AuthorsTran, MC, Garrison, JR, Gong, Z-X, Gorshkov, AV
JournalPhys. Rev. A 96, 052334

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.