Tran Minh Cong, Garrison James R, Gong Zhe-Xuan, Gorshkov Alexey V
Joint Center for Quantum Information and Computer Science and Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA.
Department of Physics, Colorado School of Mines, Golden, Colorado 80401, USA.
Phys Rev A (Coll Park). 2017;96. doi: 10.1103/PhysRevA.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 -partite connected correlator can reach unit value in constant time. Remarkably, the bounds also allow for an -partite connected correlator to reach a value that is with system size in constant time, a feature which stands in contrast to bipartite connected correlations. We provide explicit examples of such systems.
利布和罗宾逊给出了在仅具有短程相互作用的系统中，二分连通关联出现速度的界限。我们将二分连通关联函数的利布 - 罗宾逊界限推广到多分连通关联函数。这些界限意味着一个n分连通关联函数可以在恒定时间内达到单位值。值得注意的是，这些界限还允许一个n分连通关联函数在恒定时间内达到与系统大小成比例的值，这一特征与二分连通关联形成对比。我们给出了此类系统的具体示例。
