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Finite-size scaling on the torus with periodic projected entangled-pair states

Year: 2025
Type: article
Abstract: Projected entangled pair states (PEPS) provide a powerful variational class for strongly correlated ground states in two dimensions, but how to apply them to clusters with periodic boundary conditions was an open question. To solve this problem, a novel algorithm is introduced to contract PEPS on a torus and variational ground state optimization is performed using gradient methods in combination with state-of-the-art automatic differentiation. The authors observe finite-size scaling of critical (2+1)d quantum models and use this to successfully extract scaling dimensions.
DOI: 10.1103/physrevb.111.165124
Authors: Gleb Fedorovich, Lukas Devos, Jutho Haegeman, Laurens Vanderstraeten, Frank Verstraete, Atsushi Ueda
Language: English
Open Access status: green
Funders: Watanabe Foundation, European Orthodontic Society, Fonds Wetenschappelijk Onderzoek, Universiteit Gent, University of Tokyo, Vlaamse regering, Japan Society for the Promotion of Science, Bijzonder Onderzoeksfonds UGent
Awards: G1423675079, G3452907435, G4439541347, Creating highly entangled quantum states in the NISQ era (CHEQS)., G562246749, G7054776850, G7219469439, Scaling and topology in interacting quantum systems: projected entangled-pair states on the cylinder and the torus., G8236903087, G8307647531
OpenAlex ID: W4409428690
FWCI: 1.107
Cites: 105
Cited by: 3
Related to: 10