Generalized Lanczos method for systematic optimization of tensor network states

doi:10.1088/1674-1056/27/7/070501

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	Generalized Lanczos method for systematic optimization of tensor network states
	Huang, RZ ; Xiang, T2,7 ; Chen, J 2; Zhao, HH ; Xie, ZY ; Xie, HD ; Liu, ZY ; Liao, HJ
刊名	CHINESE PHYSICS B
	2018
卷号	27 期号:7 页码:70501
关键词	DENSITY-MATRIX RENORMALIZATION CLASSICAL-MODELS
ISSN号	1674-1056
DOI	10.1088/1674-1056/27/7/070501
英文摘要	We propose a generalized Lanczos method to generate the many-body basis states of quantum lattice models using tensor-network states (TNS). The ground-state wave function is represented as a linear superposition composed from a set of TNS generated by Lanczos iteration. This method improves significantly the accuracy of the tensor-network algorithm and provides an effective way to enlarge the maximal bond dimension of TNS. The ground state such obtained contains significantly more entanglement than each individual TNS, reproducing correctly the logarithmic size dependence of the entanglement entropy in a critical system. The method can be generalized to non-Hamiltonian systems and to the calculation of low-lying excited states, dynamical correlation functions, and other physical properties of strongly correlated systems.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/22874]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 4.Renmin Univ China, Dept Phys, Beijing 100872, Peoples R China 5.Univ Tokyo, Dept Appl Phys, Bunkyo Ku, Tokyo 1138656, Japan 6.Univ Tokyo, Inst Solid State Phys, Kashiwa, Chiba 2778581, Japan 7.Brain Sci Inst, RIKEN, Wako, Saitama 3510198, Japan 8.Collaborat Innovat Ctr Quantum Matter, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, RZ,Xiang, T,Chen, J,et al. Generalized Lanczos method for systematic optimization of tensor network states[J]. CHINESE PHYSICS B,2018,27(7):70501.
APA	Huang, RZ.,Xiang, T.,Chen, J.,Zhao, HH.,Xie, ZY.,...&Liao, HJ.(2018).Generalized Lanczos method for systematic optimization of tensor network states.CHINESE PHYSICS B,27(7),70501.
MLA	Huang, RZ,et al."Generalized Lanczos method for systematic optimization of tensor network states".CHINESE PHYSICS B 27.7(2018):70501.