Efficient representation of long-range interactions in tensor network algorithms
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.
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.Attached Files
Published - PhysRevB.98.205127.pdf
Submitted - 1807.08378.pdf
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Additional details
- Eprint ID
- 90323
- Resolver ID
- CaltechAUTHORS:20181022-110205583
- Air Force Office of Scientific Research (AFOSR)
- FA9550-18-1-0095
- NSF
- CHE-1665333
- Simons Foundation
- Created
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2018-10-22Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field