Knowledge Management System of Institute of Theoretical Physics, CAS
Zhao, H. H.; Xie, Z. Y.; Chen, Q. N.; Wei, Z. C.; Cai, J. W.; Xiang, T.; Zhao, HH , Chinese Acad Sci, Inst Phys, POB 603, Beijing 100190, Peoples R China | |
Renormalization of tensor-network states | |
Source Publication | PHYSICAL REVIEW B |
Keyword | Density-matrix Renormalization Bond Ground-states Systems Antiferromagnets Formulation Honeycomb Lattice Chains Models |
Abstract | 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. |
2010 | |
ISSN | 1098-0121 |
Volume | 81Issue:17Pages:- |
Subject Area | Physics |
Indexed By | SCI |
Funding Organization | NSF-China; MOST, China ; NSF-China; MOST, China ; NSF-China; MOST, China ; NSF-China; MOST, China |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.itp.ac.cn/handle/311006/5112 |
Collection | SCI期刊论文 |
Corresponding Author | Zhao, HH , Chinese Acad Sci, Inst Phys, POB 603, Beijing 100190, Peoples R China |
Recommended Citation GB/T 7714 | Zhao, H. H.,Xie, Z. Y.,Chen, Q. N.,et al. Renormalization of tensor-network states[J]. PHYSICAL REVIEW B,2010,81(17):-. |
APA | Zhao, H. H..,Xie, Z. Y..,Chen, Q. N..,Wei, Z. C..,Cai, J. W..,...&Zhao, HH , Chinese Acad Sci, Inst Phys, POB 603, Beijing 100190, Peoples R China.(2010).Renormalization of tensor-network states.PHYSICAL REVIEW B,81(17),-. |
MLA | Zhao, H. H.,et al."Renormalization of tensor-network states".PHYSICAL REVIEW B 81.17(2010):-. |
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