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Efficient representation of long-range interactions in tensor network algorithms

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.98.205127DOIArticle
https://arxiv.org/abs/1807.08378arXivDiscussion Paper
ORCID:
AuthorORCID
O'Rourke, Matthew J.0000-0002-5779-2577
Li, Zhendong0000-0002-0683-6293
Chan, Garnet Kin-Lic0000-0001-8009-6038
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.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-18-1-0095
NSFCHE-1665333
Simons FoundationUNSPECIFIED
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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