| Project/Area Number |
26800205
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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 | Tokyo University of Science |
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Principal Investigator |
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| Research Collaborator |
NAKAJIMA Takashi
OKAMURA Soichiro
SUZUKI Masuo
MATSUEDA Hiroaki
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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 |
¥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: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 熱力学的状態変化 / 情報幾何学 / 相図 / 準静的過程 / リーマン幾何学 / 平衡系 / 距離 / 準静的状態変化 / 密度行列 / 熱場ダイナミクス / 情報統計力学 / 量子アニーリング / 幾何学的統計力学 |
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| Outline of Final Research Achievements |
We showed a possibility to trace the change of states along a thermodynamic process using a Riemannian manifold defined by Fisher metric. For example, some typical toy models were investigated by means of geodesic lines. As a result, the difference of states on a thermodynamic process can be described by the path length on the manifold. Furthermore, this research project also presented relations between the present dynamics and thermo-field dynamics, and how to perform singular-value decomposition using quantum annealing.
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