Investigation on Casimir effects in quantum many body systems

2023 Fiscal Year Final Research Report

• Project/Area Number: 19K14616
• Research Category: Grant-in-Aid for Early-Career Scientists
• Allocation Type: Multi-year Fund
• Review Section: Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
• Research Institution: Tokyo University of Science, Yamaguchi (2020-2023); Chuo University (2019)
• Principal Investigator: Yoshii Ryosuke 山陽小野田市立山口東京理科大学, 共通教育センター, 講師 (30632517)
• Project Period (FY): 2019-04-01 – 2024-03-31
• Keywords: カシミール効果 / 真空の構造 / 量子多体効果 / 相転移

Outline of Final Research Achievements

In this study, based on the objective of investigating the influence of Casimir forces originating from the structure of vacuum in quantum many-body systems and proposing methods for their utilization, various topics were explored. These include analysis of vacuum structure in many-body systems, effects of phase transitions on Casimir effects, analysis of thermodynamic work extractable during parameter modulation, and methods for estimating deviations from vacuum states with and without quantum many-body correlations in the presence of noise. As a result, insights into the stability of non-uniform condensates in systems subjected to magnetic fields, peculiar behavior of Casimir forces due to phase transitions induced by magnetic fields, generation of work due to periodic modulation of parameters, and instability of vacuum states in spin-1 bosonic systems have been revealed.

Free Research Field

凝縮系物理学・量子情報物理学

Academic Significance and Societal Importance of the Research Achievements

本研究では真空の揺らぎから生じる力(カシミール力)に関連する統括的な研究を行った。この力は至る所で現れるため、微小な素子や生体膜における影響から、高エネルギー物理学における余剰次元のコンパクト化の起源の可能性なども調べられている。本研究ではカシミール効果における量子多体効果の影響とそれを用いた制御、そして応用方法の提案など、今後の発展へとつながる研究を行ってきた。研究期間を通して論文12報と招待セミナー5件、国際会議発表(口頭発表5件, ポスター発表8件)など様々な媒体を通して成果を報告してきた。この研究がさらに深まることにより、実際の応用や自然現象のより深い理解へと繋がることが期待される。