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arXiv · 1304.6150

Size consistency of tensor network methods for quantum many-body systems

Zhen Wang·Yongjian Han·Guang-Can Guo·Lixin He
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Abstract

Recently developed tensor network methods demonstrate great potential for addressing the quantum many-body problem, by constructing variational spaces with polynomially, instead of exponentially, scaled parameters. Constructing such an efficient tensor network, and thus the variational space, is a subtle problem and the main obstacle of the method. We demonstrate the necessity of size consistency in tensor network methods for their success in addressing the quantum many-body problem. We further demonstrate that size consistency is independent of the entanglement criterion, thus providing a general and tight constraint to construct the tensor network method.

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Zhen Wang, Yongjian Han, Guang-Can Guo, Lixin He. 2013-04-23. Size consistency of tensor network methods for quantum many-body systems. https://doi.org/10.1103/physrevb.88.121105

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