Translation invariant tensor product states in a finite lattice system

doi:10.1088/1674-1056/20/11/117501

中国物理B ›› 2011, Vol. 20 ›› Issue (11): 117501-117501.doi: 10.1088/1674-1056/20/11/117501

Translation invariant tensor product states in a finite lattice system

蔡建伟¹, 赵汇海¹, 秦明普¹, 魏忠超¹, 向涛², 陈巧妮³, 谢志远³

(1)Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; (2)Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China; (3)Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

收稿日期:2011-04-01 修回日期:2011-08-10 出版日期:2011-11-15 发布日期:2011-11-15
基金资助:
Project supported by the National Natural Science Foundation of China and the National Program for Basic Research of the Ministry of Science and Technology of China.

Translation invariant tensor product states in a finite lattice system

Cai Jian-Wei(蔡建伟)^a), Chen Qiao-Ni(陈巧妮)^b), Zhao Hui-Hai(赵汇海)^a), Xie Zhi-Yuan(谢志远)^b), Qin Ming-Pu(秦明普)^a), Wei Zhong-Chao(魏忠超)^a), and Xiang Tao(向涛)^a)b)†

^a Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; ^bInstitute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

Received:2011-04-01 Revised:2011-08-10 Online:2011-11-15 Published:2011-11-15
Supported by:
Project supported by the National Natural Science Foundation of China and the National Program for Basic Research of the Ministry of Science and Technology of China.

摘要/Abstract

摘要： 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.

关键词: tensor product state, translation invariant

Abstract: 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.

Key words: tensor product state, translation invariant

中图分类号: (Quantized spin models, including quantum spin frustration)

75.10.Jm

75.40.Mg (Numerical simulation studies) 05.30.-d (Quantum statistical mechanics) 02.70.-c (Computational techniques; simulations)

蔡建伟, 陈巧妮, 赵汇海, 谢志远, 秦明普, 魏忠超, 向涛. Translation invariant tensor product states in a finite lattice system[J]. 中国物理B, 2011, 20(11): 117501-117501.

Cai Jian-Wei(蔡建伟), Chen Qiao-Ni(陈巧妮), Zhao Hui-Hai(赵汇海), Xie Zhi-Yuan(谢志远), Qin Ming-Pu(秦明普), Wei Zhong-Chao(魏忠超), and Xiang Tao(向涛) . Translation invariant tensor product states in a finite lattice system[J]. Chin. Phys. B, 2011, 20(11): 117501-117501.

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Translation invariant tensor product states in a finite lattice system

Translation invariant tensor product states in a finite lattice system

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