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Huang, RZ; Liao, HJ; Liu, ZY; Xie, HD; Xie, ZY; Zhao, HH; Chen, J1; Xiang, T1,7
Generalized Lanczos method for systematic optimization of tensor network states
发表期刊CHINESE PHYSICS B
语种英语
关键词DENSITY-MATRIX RENORMALIZATION CLASSICAL-MODELS
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.
2018
ISSN1674-1056
卷号27期号:7页码:70501
学科领域Physics
学科门类Physics, Multidisciplinary
DOI10.1088/1674-1056/27/7/070501
收录类别SCIE
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/22874
专题理论物理所科研产出_SCI论文
作者单位1.Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
3.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, 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,Liao, HJ,Liu, ZY,et al. Generalized Lanczos method for systematic optimization of tensor network states[J]. CHINESE PHYSICS B,2018,27(7):70501.
APA Huang, RZ.,Liao, HJ.,Liu, ZY.,Xie, HD.,Xie, ZY.,...&Xiang, T.(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.
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