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

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.

5 pages, 4 figures

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Cited by in corpus (5)

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• Gradient optimization of finite projected entangled pair states
• Tunneling frustration induced peculiar supersolid phases in the extended Bose-Hubbard model
• Replica exchange molecular dynamics optimization of tensor network states for quantum many-body systems
• Exotic Spin Phases in Two Dimensional Spin-orbit Coupled Models: Importance of Quantum Fluctuation Effects