Lieb-Robinson bounds on n-partite connected correlation functions
Abstract
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.
Publication Details
- Authors
- Publication Type
- Journal Article
- Year of Publication
- 2017
- Journal
- Physical Review A
- Volume
- 96
- Date Published
- 11/2017