Translation invariant tensor product states in a finite lattice system

We show that the matrix （or more generally tensor） product states in a finite translation invariant system can be accurately constructed from a same set of local matrices （or tensors） that are determined from an infinite lattice system in one or higher dimensions. This provides an efficient approach...

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Published inChinese physics B Vol. 20; no. 11; pp. 479 - 486
Main Author 蔡建伟 陈巧妮 赵汇海 谢志远 秦明普 魏忠超 向涛
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.11.2011
Subjects
Construction
Invariants
Lattices
Mathematical analysis
Matrices
Matrix methods
Tensors
Translations
产品
变系统
平移不变
张量积
晶格
状态
矩阵
Online AccessGet full text
ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/20/11/117501

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Summary:We show that the matrix （or more generally tensor） product states in a finite translation invariant system can be accurately constructed from a same set of local matrices （or tensors） that are determined from an infinite lattice system in one or higher dimensions. This provides an efficient approach for studying translation invariant tensor product states in finite lattice systems. Two methods are introduced to determine the size-independent local tensors.
Bibliography:Cai Jian-Wei,Chen Qiao-Ni,Zhao Hui-Hai,Xie Zhi-Yuan,Qin Ming-Pu,Wei Zhong-Chao,Xiang Tao（ a） Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China ;b） Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
tensor product state; translation invariant
We show that the matrix （or more generally tensor） product states in a finite translation invariant system can be accurately constructed from a same set of local matrices （or tensors） that are determined from an infinite lattice system in one or higher dimensions. This provides an efficient approach for studying translation invariant tensor product states in finite lattice systems. Two methods are introduced to determine the size-independent local tensors.
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ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/20/11/117501