Statistical mechanics based on pure quantum states
| Project/Area Number |
26287085
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Partial 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 | The University of Tokyo |
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Principal Investigator |
SHIMIZU Akira 東京大学, 総合文化研究科, 教授 (10242033)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥13,000,000 (Direct Cost: ¥10,000,000、Indirect Cost: ¥3,000,000)
Fiscal Year 2016: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2015: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2014: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
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| Keywords | equilibrium state / macroscopic system / statistical mechanics / pure quantum state / 量子統計力学 / 純粋状態 / 混合状態 / 統計力学 / 有限温度 / 強相関系 / 電子系 |
|---|
| Outline of Final Research Achievements |
We generalized the TPQ formulation, which is a new formulation of statistical mechanics based on a pure quantum state, to systems with an infinite-dimensional Hilbert space. We also generalized it to the case corresponding to the grand-canonical ensemble, and applied it to the Hubbard model at finite temperature. Furthermore, we studied entanglement of the TPQ states, and clarified great differences from that of the Gibbs states. Moreover, we constructed TPQ states that fluctuate as a function of time, and found that the fluctuation-dissipation theorem is partially violated in macroscopic quantum systems. We also reformulated the linear response theory using the TPQ formulation.
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Report
(4 results)
Research Products
(35 results)
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[Presentation] 非平衡量子系の状態数2016
Author(s)
箱嶋秀昭，清水明
Organizer
日本物理学会 第71回年次大会
Place of Presentation
東北学院大 （宮城県仙台市）
Year and Date
2016-03-21
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[Presentation] スクイズド平衡状態2015
Author(s)
藤倉恭太，清水明
Organizer
日本物理学会 第70回年次大会
Place of Presentation
早稲田大学、東京都新宿区
Year and Date
2015-03-21 – 2015-03-24
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[Presentation] 非平衡定常状態の状態数分布2014
Author(s)
清水明，箱嶋秀昭，杉浦祥
Organizer
日本物理学会 2014年秋季大会
Place of Presentation
中部大学、愛知県春日井市
Year and Date
2014-09-07 – 2014-09-10
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[Presentation] Excitonic Thermal Pure Quantum States2014
Author(s)
Masahiko Hyuga, Sho Sugiura, and Akira Shimizu
Organizer
The 7th International Conference on Spontaneous Coherence in Excitonic Systems
Place of Presentation
Hakone, Kanagawa, Japan
Year and Date
2014-04-21 – 2014-04-25
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