2016 Fiscal Year Final Research Report
Expansion of statistical universality of dynamically formed quantum entanglement and its application
| 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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| Project Period (FY) |
2014-04-01 – 2017-03-31
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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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| Free Research Field |
複雑系科学
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