Translation invariant tensor product states in a finite lattice system

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

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.

Keywords: tensor product state translation invariant

Received: 01 April 2011
Revised: 10 August 2011
Accepted manuscript online:

PACS:	75.10.Jm	(Quantized spin models, including quantum spin frustration)
	75.40.Mg	(Numerical simulation studies)
	05.30.-d	(Quantum statistical mechanics)
	02.70.-c	(Computational techniques; simulations)

Fund: 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.

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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 2011 Chin. Phys. B 20 117501

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Translation invariant tensor product states in a finite lattice system

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