2022 Fiscal Year Final Research Report
The measurement theory of heat current fluctuations through nanoscopic quantum conductors
| Project/Area Number |
18KK0385
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| Research Category |
Fund for the Promotion of Joint International Research (Fostering Joint International Research (A))
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| Allocation Type | Multi-year Fund |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Mie University |
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Principal Investigator |
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| Project Period (FY) |
2019 – 2022
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| Keywords | 物性理論 / メゾスコピック系 / 非平衡量子輸送 / 熱量揺らぎ測定 / 情報通信 |
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| Outline of Final Research Achievements |
This research aimed to bridge the gap between the theoretical findings of the previous project, "Fluctuations of information, heat, and charge currents" (17K05575), and experimental studies. The following achievements were made during the research period: Firstly, a general expression describing heat flow and information flow in Bosonic quantum transport was derived. This expression can provide the maximum communication capacity of superconducting quantum transmission lines. Additionally, the relationship between the partition function and the water-filling theorem was established in the wave-like regime. Secondly, fundamental limits of time evolution in open quantum systems were explored. The study identified the principle limitations of the thermodynamic cost associated with transformations of quantum state weakly coupled to an environment. The results have potential applications in superconducting on-chip thermometers, bolometers, and single-electron turnstile devices.
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| Free Research Field |
固体量子素子における非平衡輸送
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| Academic Significance and Societal Importance of the Research Achievements |
本研究成果は，統計・情報理論と量子輸送理論を融合し，超伝導量子回路素子の電気伝導，熱伝導現象を理論的に解析することで，その情報処理素子としての性能や測定素子としての感度の物理法則による原理的限界を明らかにしたという学術的意義をもつ．本成果は，近年見出された非平衡熱統計力学における普遍的関係式を適用したという側面もある．成果は，将来の効率的な量子デバイスの設計または性能評価の指針として利用できると期待される．
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