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arXiv · 1807.08378

Efficient representation of long-range interactions in tensor network algorithms

Matthew J. O'Rourke·Zhendong Li·Garnet Kin-Lic Chan
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Abstract

We describe a practical and efficient approach to represent physically realistic long-range interactions in two-dimensional tensor network algorithms via projected entangled-pair operators (PEPOs). We express the long-range interaction as a linear combination of correlation functions of an auxiliary system with only nearest-neighbor interactions. To obtain a smooth and radially isotropic interaction across all length scales, we map the physical lattice to an auxiliary lattice of expanded size. Our construction yields a long-range PEPO as a sum of ancillary PEPOs, each of small, constant bond dimension. This representation enables efficient numerical simulations with long-range interactions using projected entangled pair states.

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Matthew J. O'Rourke, Zhendong Li, Garnet Kin-Lic Chan. 2018-07-22. Efficient representation of long-range interactions in tensor network algorithms. https://doi.org/10.1103/physrevb.98.205127

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