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 |
URL标识 | 查看原文 |
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 |
推荐引用方式 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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