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

作者：Wang Zhen^*; Han Yongjian; Guo Guang Can; He Lixin

来源：Physical Review B, 2013, 88(12): 121105.

DOI：10.1103/PhysRevB.88.121105

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. We propose a general and easy rule to construct a size-consistent tensor network.

• 出版日期2013-9-17
• 单位中国科学技术大学