Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems

CORC > 物理研究所 > 物理所公开发表论文 > 期刊论文

	Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems
	Franchini, F ; Cui, J ; Amico, L ; Fan, H ; Gu, M ; Korepin, V ; Kwek, LC ; Vedral, V
刊名	Physical Review X
	2014
卷号	4 期号:4
ISSN号	2160-3308
通讯作者	Franchini, F (reprint author), MIT, Dept Phys, Cambridge, MA 02139 USA.
中文摘要	In some many-body systems, certain ground-state entanglement (Renyi) entropies increase even as the correlation length decreases. This entanglement nonmonotonicity is a potential indicator of nonclassicality. In this work, we demonstrate that such a phenomenon, known as lack of local convertibility, is due to the edge-state (de) construction occurring in the system. To this end, we employ the example of the Ising chain, displaying an order-disorder quantum phase transition. Employing both analytical and numerical methods, we compute entanglement entropies for various system bipartitions (A\B) and consider ground states with and without Majorana edge states. We find that the thermal ground states, enjoying the Hamiltonian symmetries, show lack of local convertibility if either A or B is smaller than, or of the order of, the correlation length. In contrast, the ordered (symmetry-breaking) ground state is always locally convertible. The edge-state behavior explains all these results and could disclose a paradigm to understand local convertibility in other quantum phases of matter. The connection we establish between convertibility and nonlocal, quantum correlations provides a clear criterion of which features a universal quantum simulator should possess to outperform a classical machine.
资助信息	European Community [FP7/2007-2013, PIOF-PHY-276093]; 973 Program [2010CB922904]; NSFC; CAS; NSF Grant [DMS-1205422]; National Research Foundation; National Basic Research Program of China [2011CBA00300, 2011CBA00302]; National Natural Science Foundation of China [11450110058, 61033001, 61061130540]; National Institute of Education; Institute of Advanced Studies, Nanyang Technological University; Ministry of Education, Singapore
语种	英语
公开日期	2015-04-14
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/59597]
专题	物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文
推荐引用方式 GB/T 7714	Franchini, F,Cui, J,Amico, L,et al. Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems[J]. Physical Review X,2014,4(4).
APA	Franchini, F.,Cui, J.,Amico, L.,Fan, H.,Gu, M.,...&Vedral, V.(2014).Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems.Physical Review X,4(4).
MLA	Franchini, F,et al."Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems".Physical Review X 4.4(2014).