Title | Lieb-Robinson bounds on n-partite connected correlations |
Publication Type | Journal Article |
Year of Publication | 2017 |
Authors | Tran, MC, Garrison, JR, Gong, Z-X, Gorshkov, AV |
Journal | Physical Review A |
Volume | 96 |
Issue | 5 |
Date Published | 2017/11/27 |
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. |
URL | https://arxiv.org/abs/1705.04355 |
DOI | 10.1103/PhysRevA.96.052334 |