nonequilibrium statistical mechanics and operation of quantum many-body systems
Project/Area Number |
26800206
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Multi-year Fund |
Research Field |
Mathematical physics/Fundamental condensed matter physics
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Research Institution | Seikei University |
Principal Investigator |
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Project Period (FY) |
2014-04-01 – 2017-03-31
|
Project Status |
Completed (Fiscal Year 2016)
|
Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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Keywords | 非平衡 / メゾ系 / 孤立量子系 / 純粋状態 / 熱平衡化 / 冷却原子気体 / 非平衡過程 / 輸送現象 / 非平衡統計力学 / 量子多体系 / 非平衡定常状態 |
Outline of Final Research Achievements |
We explored the nonequilibrium processes of isolated quantum many-body systems in the context of the statistical mechanics. First, we have shown that the probability distribution of work done can be calculated from only a single typical pure state for externally perturbed systems, which are initially prepared in equilibrium. Then, we constructed a class of pure states expressing the nonequilibrium steady state of mesoscopic systems which consist of a finite system interacting with multiple reservoirs on the basis of the scattering approach. Also, we have shown a thermodynamic lower-bound of the deviation from equilibrium in terms of the dissipation and the strength of external perturbation.
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Report
(4 results)
Research Products
(13 results)