O'Rourke, Matthew J. and Li, Zhendong and Chan, Garnet Kin-Lic (2018) Efficient representation of long-range interactions in tensor network algorithms. Physical Review B, 98 (20). Art. No. 205127. ISSN 2469-9950. https://resolver.caltech.edu/CaltechAUTHORS:20181022-110205583
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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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| Additional Information: | © 2018 American Physical Society. Received 22 July 2018; revised manuscript received 11 October 2018; published 16 November 2018. Primary support for this work was from the AFOSR MURI Grant FA9550-18-1-0095, which supported M.J.O. Additional support was from the US National Science Foundation via Grant CHE-1665333 for Z.L. G.K.C. acknowledges support from the Simons Foundation. | |||||||||
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| Issue or Number: | 20 | |||||||||
| Record Number: | CaltechAUTHORS:20181022-110205583 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20181022-110205583 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 90323 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 22 Oct 2018 21:21 | |||||||||
| Last Modified: | 24 Feb 2020 23:38 |
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