2026-08-03 理化学研究所
ボーズ量子場の量子もつれ境界則
＜関連情報＞
- https://www.riken.jp/press/2026/20260803_1/index.html
- https://www.nature.com/articles/s41467-026-72404-w
ボーズ・ハバード模型からϕ4理論、そしてその先まで、相互作用するボソンにおけるエンタングルメント面積法則 Entanglement area law in interacting bosons from the Bose-Hubbard model to ϕ4 theory and beyond
Donghoon Kim & Tomotaka Kuwahara
Nature Communications Published:20 May 2026
DOI:https://doi.org/10.1038/s41467-026-72404-w
Abstract
The entanglement area law is a universal principle that characterizes quantum many-body phases and underpins tensor network algorithms. Traditionally, its validity has been limited to systems with short-range interactions and bounded local energy. Achieving a complete generalization that removes both of these constraints has been a longstanding goal in quantum many-body theory, especially for interacting boson systems where unbounded energy presents intrinsic difficulties. In this work, we rigorously prove the area law for one-dimensional interacting boson systems with long-range interactions, covering broad models including the Bose-Hubbard and ϕ4 classes. Furthermore, we establish an efficiency guarantee for Matrix-Product-State approximations of the ground states, offering a practical route to numerical simulation. One of our main technical contributions is a general method for Hilbert space dimension reduction, whose applicability extends to arbitrary spatial dimensions. These results address two major challenges simultaneously and provide important foundations for simulating long-range cold atomic systems.
