Lieb-Robinson bounds on $n$-partite connected correlation functions

Autor: Tran, Minh Cong, Garrison, James R., Gong, Zhe-Xuan, Gorshkov, Alexey V.
Rok vydání: 2017
Předmět:
Zdroj: Phys. Rev. A 96, 052334 (2017)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevA.96.052334
Popis: 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.
Comment: 10 pages, 4 figues
Databáze: arXiv