Renormalization of tensor-network states
Zhao, HH , Chinese Acad Sci, Inst Phys, POB 603, Beijing 100190, Peoples R China; Cai, J. W.; Zhao, H. H.; Xie, Z. Y.; Chen, Q. N.; Wei, Z. C.; Xiang, T.
刊名PHYSICAL REVIEW B
2010
卷号81期号:17页码:-
关键词Density-matrix Renormalization Bond Ground-states Systems Antiferromagnets Formulation Honeycomb Lattice Chains Models
ISSN号1098-0121
英文摘要We have discussed the tensor-network representation of classical statistical or interacting quantum lattice models, and given a comprehensive introduction to the numerical methods we recently proposed for studying the tensor-network states/models in two dimensions. A second renormalization scheme is introduced to take into account the environment contribution in the calculation of the partition function of classical tensornetwork models or the expectation values of quantum tensor-network states. It improves significantly the accuracy of the coarse-grained tensor renormalization-group method. In the study of the quantum tensornetwork states, we point out that the renormalization effect of the environment can be efficiently and accurately described by the bond vector. This, combined with the imaginary-time evolution of the wave function, provides an accurate projection method to determine the tensor-network wave function. It reduces significantly the truncation error and enables a tensor-network state with a large bond dimension, which is difficult to be accessed by other methods, to be accurately determined.
学科主题Physics
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WOS记录号WOS:000278141600069
公开日期2012-08-02
内容类型期刊论文
源URL[http://ir.itp.ac.cn/handle/311006/5112]  
专题理论物理研究所_理论物理所1978-2010年知识产出
通讯作者Zhao, HH , Chinese Acad Sci, Inst Phys, POB 603, Beijing 100190, Peoples R China
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GB/T 7714
Zhao, HH , Chinese Acad Sci, Inst Phys, POB 603, Beijing 100190, Peoples R China,Cai, J. W.,Zhao, H. H.,et al. Renormalization of tensor-network states[J]. PHYSICAL REVIEW B,2010,81(17):-.
APA Zhao, HH , Chinese Acad Sci, Inst Phys, POB 603, Beijing 100190, Peoples R China.,Cai, J. W..,Zhao, H. H..,Xie, Z. Y..,Chen, Q. N..,...&Xiang, T..(2010).Renormalization of tensor-network states.PHYSICAL REVIEW B,81(17),-.
MLA Zhao, HH , Chinese Acad Sci, Inst Phys, POB 603, Beijing 100190, Peoples R China,et al."Renormalization of tensor-network states".PHYSICAL REVIEW B 81.17(2010):-.
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