Theory of one-dimensional electronic Casimir effect in terms of complex eigenvalue problem of Hamiltonian and Liouvilian
| Project/Area Number |
24540327
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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 |
Condensed matter physics I
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| Research Institution | Osaka Prefecture University |
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Principal Investigator |
TANAKA Satoshi 大阪府立大学, 理学(系)研究科(研究院), 教授 (80236588)
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| Co-Investigator(Kenkyū-buntansha) |
KANKI Kazuki 大阪府立大学, 大学院理学系研究科, 准教授 (10264821)
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| Research Collaborator |
TOMIO Petrosky
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | 量子光学 / 非平衡統計力学 / 非平衡輸送現象 / 光物性 / カシミール効果 / 国際研究者交流（イタリア） / 国際研究者交流（米国） / 物性理論 |
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| Outline of Final Research Achievements |
Electronic Casimir effect between impurities in a quantum wire has been theoretically investigated in terms of complex eigenvalue problem of Hamiltonian. We have revealed that a mechanism of a force between the impurities caused by an electron transfer through a one-dimensional conduction band is essentially the same as a ordinary Casimir force between atoms mediated by a virtual photon. In this electronic system, a finite effective band-mass of an electron leads the Casimir force to decay exponentially in the distance of the impurities, in contrast to a power law decay in an ordinary Casimir force. It is found out that the electronic Casimir force extends to a very long range due to the Van Hove singularity characteristic to a one-dimensional system. We have further clarified that virtual cloud, key element of the Casimir force, disappears when the atom is in the excited state as a result of the nonlinear dispersion relation of the electronic band.
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Report
(4 results)
Research Products
(55 results)
