2014 Fiscal Year Final Research Report
Non-perturbative Theory of Quantum Entanglement Current-Correlation in Solid State under the presence of Energy Dissipation and Charging Effect
| Project/Area Number |
24540324
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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 | Nara Women's University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
WAKAYA Fujio 大阪大学, 基礎工学研究科, 准教授 (60240454)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Keywords | 量子もつれ / メゾスコピック系の量子伝導現象 / 交差アンデレｰエフ反射 / クーロン・ブロッケイド / 完全計数統計 / 非摂動論的理論 / エネルギー散逸 |
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| Outline of Final Research Achievements |
We developed the non-perturbative theory of the full counting statistics for the Solid State Entangler consisting of two capacitively-coupled single electron transistors with a common superconducting electrode. We obtained the general expression for the cumulant generating function of the system based on the finite temperature field theory of the Schwinger-Keldysh scheme in the coexisting regime of both Andreev reflection and Coulomb blockade. We successfully reproduced a recent experimental findings about quantum entanglement currents by Hofstetter et al. and showed that, adjusting bias voltages and the effects of energy dissipation and charging energy, the quantum entanglement current (1st cumulant) can be purely extracted avoiding other kinds of current flows. We also established fabrication processes of SSE structure consisting of techniques of LASER fabrication of quantum dots of graphene and carbon nanotube, and ion-beam stimulated deposition of superconducting tungsten films.
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| Free Research Field |
物性基礎理論
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