| Project/Area Number |
26400421
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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 |
Atomic/Molecular/Quantum electronics
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| Research Institution | Kanagawa University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
戸田 幹人 奈良女子大学, 自然科学系, 准教授 (70197896)
足立 聡 東京工業大学, 理学院, 助教 (90211698)
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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 |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 量子カオス / 量子絡み合い / ランダム行列理論 / Schmidt固有値 / 最大固有値 / 多変数超幾何関数 |
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| Outline of Final Research Achievements |
Quantum entanglement is a correlation peculiar to quantum systems composed of two subsystems. Even if there is no quantum entanglement between the states of the subsystems, quantum entanglement could be formed by dynamical evolution while interacting between the two subsystems. Quantum entanglement and its properties are respectively expressed mathematically by the Schmidt decomposition and Schmidt eigenvalues. So, first of all, we focused on the largest Schmidt eigenvalue of random matrix and derived its statistical distribution function analytically. By introducing an indicator of randomness with respect to the distribution function, we showed that it is possible to judge from the statistical distribution of dynamically formed quantum entanglement whether the underlying dynamics forming quantum entanglement is sufficiently developed chaos, weak chaos or integrable.
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