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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
Source PublicationCHINESE PHYSICS B
Language英语
KeywordDENSITY-MATRIX RENORMALIZATION CLASSICAL-MODELS
AbstractWe 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
Volume27Issue:7Pages:70501
Subject AreaPhysics
MOST Discipline CataloguePhysics, Multidisciplinary
DOI10.1088/1674-1056/27/7/070501
Indexed BySCIE
Citation statistics
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22874
Collection理论物理所科研产出_SCI论文
Affiliation1.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
Recommended Citation
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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