Year: 2026
Type: preprint
Abstract: We apply the stochastic all-mode technique to general coarse-graining schemes of the tensor renormalization group (TRG) approach. The technique possesses a notable characteristic of being entirely free from systematic errors which can potentially arise in the coarse-graining step, while it has statistical errors caused by random noise. The key element in our generalization is employing a method called squeezer, and the all-mode technique can be used when it is constructed. Since many TRG methods can be described in terms of the squeezers, our approach can be applicable in all such cases. In this work, we demonstrate the new method with higher-order TRG in the two- and three-dimensional Ising model.
Source: arXiv (Cornell University)
Authors: Nakayama, Katsumasa, Takeda, Shinji
Institutions: RIKEN Center for Computational Science, Kanazawa University
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: Development of higher dimensional tensor network coarse-graining algorithms and their application to high energy physics, ゲージ相互作用を含んだ高次元におけるテンソル繰り込み群の研究, Elucidating real-time dynamics using tensor networks, New development of computational particle physics with tensor network method, G6370174348
OpenAlex ID: W7220452431