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2023 Fiscal Year Final Research Report

Topological quantum phenomena in atomic Bose-Einstein condensates

Research Project

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Project/Area Number 19H01824
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 13020:Semiconductors, optical properties of condensed matter and atomic physics-related
Research InstitutionNagoya University

Principal Investigator

Kawaguchi Yuki  名古屋大学, 工学研究科, 教授 (00456261)

Co-Investigator(Kenkyū-buntansha) 小林 伸吾  国立研究開発法人理化学研究所, 創発物性科学研究センター, 研究員 (40779675)
藤本 和也  東京工業大学, 理学院, 助教 (40838059)
Project Period (FY) 2019-04-01 – 2023-03-31
Keywords冷却原子気体 / トポロジカル構造 / トポロジカル相 / 非エルミート / ボース粒子系
Outline of Final Research Achievements

We have studied the topological structure of matter in real and momentum space and its control by a driving external field, mainly for Bose-Einstein condensates of atomic gases, but also for other quantum systems such as chiral magnets and superconductor/normal conductor junction systems. As major results, we have investigated the properties of non-Hermitian Hamiltonians intrinsic to Bose particle systems, and clarified the topology of the appearance of complex eigenvalues and how the appearance of complex eigenvalues can be controlled by a driving external field. We also proposed an experimental method to realize nontrivial topological classes under the time-periodic Hamiltonian. Furthermore, we elucidated the dynamics of vortex generation by artificial gauge fields created by the spatial structure of spins.

Free Research Field

物性理論

Academic Significance and Societal Importance of the Research Achievements

ボース対称性に由来した非エルミート系において、複素固有値を含む場合のトポロジカル数を定義したこと、および複素固有値の出現機構を明らかにしたことで、微視的に明確な起源をもつ非エルミート性の性質が明らかになった。フロケ・トポロジカル相のクラスを制御する方法を提案したことで、相変化、クラスの変化を実験的に制御しながら研究する道が開けた。スピンテクスチャにより人工ゲージ場を作ることで、新たな渦生成ダイナミクスが明らかになった。

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Published: 2025-01-30  

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