Exact analysis of quantum correlation and its application to quench systems
| Project/Area Number |
15K05208
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Shizuoka University |
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Principal Investigator |
Suzuki Junji 静岡大学, 理学部, 教授 (40222062)
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| Research Collaborator |
GOEHMANN Frank
KOZLOWSKI Karol
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| Project Period (FY) |
2015-04-01 – 2019-03-31
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| Project Status |
Completed (Fiscal Year 2018)
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| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 量子相関 / 量子転送行列 / 形状因子展開 / 厳密WKB法 / 量子逆散乱法 / 量子転送行列法 / 量子系ダイナミクス / 動的相関関数 / スピノン / 粒子ー正孔型励起 / 可積分系 / 量子スピン系 |
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| Outline of Final Research Achievements |
The present research establishes a new framework in quantitative analysis in dynamical correlation functions. It combined the recent developments in quantum inverse scattering method, quantum transfer matrix formalism and form factor expansions. We apply the novel formalism to the quantum spins chains and we successful evaluate static and dynamical correlation functions with high precisions.
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| Academic Significance and Societal Importance of the Research Achievements |
量子相関の理解は、量子力学に基づいたナノテクノロジー、情報通信技術に必須である。これに関して厳密な結果をもたらしたことで、本研究はさらなる技術発展の基礎となりうるものである。相関関数の解析的評価は困難であると理論的にも考えられてきたが、数値計算まで精密に行える枠組みを提示した意義は大きい。
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Report
(5 results)
Research Products
(20 results)
