Field Tensor Network States

Abstract

We define a class of tensor network states for spin systems where the individual tensors are functionals of fields. The construction is based on the path integral representation of correlators of operators in quantum field theory. These tensor network states are infinite dimensional versions of matrix product states and projected entangled pair states. We find the field-tensor that generates the Haldane-Shastry wave function and extend it to two dimensions. We give evidence that the latter underlies the topological chiral state described by the Kalmeyer-Laughlin wave function.

arXiv comment6+18 pages, 2+3 figures

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Cited by in corpus (4)

• Functional Tensor Network Solving Many-body Schrödinger Equation
• Approximating Relativistic Quantum Field Theories with Continuous Tensor Networks
• Tensor Renormalization Group for interacting quantum fields
• Symmetries and field tensor network states