2016 Fiscal Year Final Research Report
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 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Seikei University |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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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 |
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| 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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| Free Research Field |
統計力学
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